{"id":224,"date":"2022-04-13T08:45:39","date_gmt":"2022-04-13T08:45:39","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=224"},"modified":"2025-12-19T06:21:43","modified_gmt":"2025-12-19T06:21:43","slug":"m-4-construct-an-equilateral-triangle-or-regular-hexagon","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/m-4-construct-an-equilateral-triangle-or-regular-hexagon\/","title":{"rendered":"M.4 Construct an equilateral triangle or regular hexagon"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Construct an equilateral triangle or regular hexagon<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/mathbitsnotebook.com\/Geometry\/Constructions\/equiC1.jpg?utm_source=chatgpt.com\" alt=\"https:\/\/mathbitsnotebook.com\/Geometry\/Constructions\/equiC1.jpg?utm_source=chatgpt.com\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/i.ytimg.com\/vi\/b6-hczdWZMs\/sddefault.jpg?utm_source=chatgpt.com\" alt=\"https:\/\/i.ytimg.com\/vi\/b6-hczdWZMs\/sddefault.jpg?utm_source=chatgpt.com\" style=\"width:495px;height:auto\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.mathopenref.com\/images\/constructions\/constinhexagon\/proof.gif?utm_source=chatgpt.com\" alt=\"https:\/\/www.mathopenref.com\/images\/constructions\/constinhexagon\/proof.gif?utm_source=chatgpt.com\"\/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u270f\ufe0f Basic Tools Needed<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udccf <strong>Ruler (scale)<\/strong> \u2013 to draw straight lines<\/li>\n\n\n\n<li>\ud83e\udded <strong>Compass<\/strong> \u2013 to draw arcs and circles<\/li>\n\n\n\n<li>\u270f\ufe0f <strong>Pencil<\/strong> \u2013 for neat construction<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd3a Constructing an Equilateral Triangle<\/h2>\n\n\n\n<p>An <strong>equilateral triangle<\/strong> has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All <strong>three sides equal<\/strong><\/li>\n\n\n\n<li>All <strong>three angles = 60\u00b0<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\ude9c Steps:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Draw a line segment <strong>AB<\/strong> of any given length.<\/li>\n\n\n\n<li>With <strong>A as centre<\/strong>, draw an arc with radius <strong>AB<\/strong>.<\/li>\n\n\n\n<li>With <strong>B as centre<\/strong>, draw another arc with the same radius.<\/li>\n\n\n\n<li>Let the arcs intersect at <strong>C<\/strong>.<\/li>\n\n\n\n<li>Join <strong>AC<\/strong> and <strong>BC<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\">\u2705 <strong>\u25b3ABC is an equilateral triangle<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\u2b21 Constructing a Regular Hexagon<\/h2>\n\n\n\n<p>A <strong>regular hexagon<\/strong> has:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>6 equal sides<\/strong><\/li>\n\n\n\n<li><strong>6 equal angles<\/strong> (each = 120\u00b0)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\ude9c Steps:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Draw a circle with centre <strong>O<\/strong> and any radius.<\/li>\n\n\n\n<li>Mark a point <strong>A<\/strong> on the circle.<\/li>\n\n\n\n<li>With <strong>A as centre<\/strong> and same radius, cut the circle at <strong>B<\/strong>.<\/li>\n\n\n\n<li>Repeat this step to get points <strong>C, D, E, F<\/strong> on the circle.<\/li>\n\n\n\n<li>Join <strong>A\u2013B\u2013C\u2013D\u2013E\u2013F\u2013A<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>\u2705 <strong>ABCDEF is a regular hexagon<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udca1 Important Observations<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>side of a regular hexagon = radius of the circle<\/strong>.<\/li>\n\n\n\n<li>A regular hexagon can be divided into <strong>6 equilateral triangles<\/strong>.<\/li>\n\n\n\n<li>Accuracy in compass opening is <strong>very important<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 Quick Tips for Students<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Do <strong>not change the compass width<\/strong> during construction.<\/li>\n\n\n\n<li>Draw <strong>light arcs<\/strong> and darken final lines.<\/li>\n\n\n\n<li>Always <strong>label points clearly<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e0def9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83c\udf00 The&nbsp;diagram below shows a nearly completed construction of an equilateral triangle with side&nbsp;AB.&nbsp;Complete the   construction.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4.png\" alt=\"\" class=\"wp-image-4472\" style=\"aspect-ratio:1;width:506px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Part&nbsp;of the construction was done for you. Here are the steps to create this part of the&nbsp;construction.<\/p>\n\n\n\n<p><strong>Start&nbsp;with the objects in the diagram&nbsp;below.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4473\" style=\"aspect-ratio:1;width:326px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;A.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4474\" style=\"aspect-ratio:1;width:312px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;B.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4475\" style=\"aspect-ratio:1;width:372px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Mark&nbsp;a point where&nbsp;\u2a00A&nbsp;and&nbsp;\u2a00B&nbsp;intersect. Call it&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4476\" style=\"aspect-ratio:1;width:390px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Complete&nbsp;the&nbsp;construction.<\/p>\n\n\n\n<p>To&nbsp;complete the construction of an equilateral triangle with side&nbsp;AB,&nbsp;carry out the following&nbsp;steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw&nbsp;the segment between&nbsp;A&nbsp;and&nbsp;C.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4477\" style=\"aspect-ratio:1;width:412px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;the segment between&nbsp;B&nbsp;and&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-4478\" style=\"aspect-ratio:1;width:378px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since&nbsp;B&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00A,&nbsp;<em>AB<\/em>=<em>AC<\/em>.&nbsp;Since&nbsp;A&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00B,&nbsp;<em>AB<\/em>=<em>BC<\/em>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-4479\" style=\"aspect-ratio:1;width:384px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-3-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since AB=BC=AC, \u25b3ABC is an equilateral triangle.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f5dffb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83c\udf00 <strong>The diagram below shows a nearly completed construction of an equilateral triangle with side AB . Complete  the<br> construction<\/strong>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5.png\" alt=\"\" class=\"wp-image-4480\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Part&nbsp;of the construction was done for you. Here are the steps to create this part of the&nbsp;construction.<\/p>\n\n\n\n<p><strong>Start&nbsp;with the objects in the diagram&nbsp;below.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4481\" style=\"aspect-ratio:1;width:272px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;A.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4482\" style=\"aspect-ratio:1;width:358px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;B.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4483\" style=\"aspect-ratio:1;width:338px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Mark&nbsp;a point where&nbsp;\u2a00A&nbsp;and&nbsp;\u2a00B&nbsp;intersect. Call it&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4484\" style=\"aspect-ratio:1;width:352px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Complete&nbsp;the&nbsp;construction.<\/p>\n\n\n\n<p>To&nbsp;complete the construction of an equilateral triangle with side&nbsp;AB,&nbsp;carry out the following&nbsp;steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw&nbsp;the segment between&nbsp;A&nbsp;and&nbsp;C.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4485\" style=\"aspect-ratio:1;width:386px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;the segment between&nbsp;B&nbsp;and&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4486\" style=\"aspect-ratio:1;width:340px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since&nbsp;B&nbsp;and&nbsp;C&nbsp;are both on \u2a00A,&nbsp;<em>AB<\/em>=<em>AC<\/em>. Since&nbsp;A&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00B,&nbsp;<em>AB<\/em>=<em>BC<\/em>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-4487\" style=\"aspect-ratio:1;width:348px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since AB=BC=AC, \u25b3ABC is an equilateral triangle.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f9d1d1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83c\udf00 The&nbsp;diagram below shows a nearly completed construction of an equilateral triangle with side&nbsp;AB.&nbsp;Complete the&nbsp;construction.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7.png\" alt=\"\" class=\"wp-image-4490\" style=\"aspect-ratio:1;width:464px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Part&nbsp;of the construction was done for you. Here are the steps to create this part of the&nbsp;construction.<\/p>\n\n\n\n<p><strong>Start&nbsp;with the objects in the diagram&nbsp;below.<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4491\" style=\"aspect-ratio:1;width:282px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__1_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;A.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4492\" style=\"aspect-ratio:1;width:330px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__2_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;a circle with radius&nbsp;AB&nbsp;centred at&nbsp;B.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4493\" style=\"aspect-ratio:1;width:350px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Mark&nbsp;a point where&nbsp;\u2a00A&nbsp;and&nbsp;\u2a00B&nbsp;intersect. Call it&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4494\" style=\"aspect-ratio:1;width:354px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__4_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Complete&nbsp;the&nbsp;construction.<\/p>\n\n\n\n<p>To&nbsp;complete the construction of an equilateral triangle with side&nbsp;AB,&nbsp;carry out the following&nbsp;steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw&nbsp;the segment between&nbsp;A&nbsp;and&nbsp;C.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4495\" style=\"aspect-ratio:1;width:368px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-7.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-7-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__5_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Draw&nbsp;the segment between&nbsp;B&nbsp;and&nbsp;C.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-6.png\" alt=\"\" class=\"wp-image-4496\" style=\"aspect-ratio:1;width:350px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-6.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-6-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__6_-removebg-preview-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since&nbsp;B&nbsp;and&nbsp;C&nbsp;are both on \u2a00A,&nbsp;<em>AB<\/em>=<em>AC<\/em>. Since&nbsp;A&nbsp;and&nbsp;C&nbsp;are both on&nbsp;\u2a00B,&nbsp;<em>AB<\/em>=<em>BC<\/em>.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-4497\" style=\"aspect-ratio:1;width:332px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-5.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-5-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__7_-removebg-preview-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since AB=BC=AC, \u25b3ABC is an equilateral triangle.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let`s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-78.png\" alt=\"\" class=\"wp-image-7922\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-78.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-78-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-78-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-87.png\" alt=\"\" class=\"wp-image-7923\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-87.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-87-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-87-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Construct an equilateral triangle or regular hexagon Key Notes : \u270f\ufe0f Basic Tools Needed \ud83d\udd3a Constructing an Equilateral Triangle An equilateral triangle has: \ud83e\ude9c Steps: \u2705 \u25b3ABC is an equilateral triangle. \u2b21 Constructing a Regular Hexagon A regular hexagon has: \ud83e\ude9c Steps: \u2705 ABCDEF is a regular hexagon. \ud83d\udca1 Important Observations \ud83e\udde0 Quick Tips for<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/m-4-construct-an-equilateral-triangle-or-regular-hexagon\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.4 Construct an equilateral triangle or regular hexagon&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-224","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=224"}],"version-history":[{"count":14,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/224\/revisions"}],"predecessor-version":[{"id":18321,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/224\/revisions\/18321"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}