[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523008-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523008-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","triangle-constructions","Triangle Constructions","","This educational worksheet provides a series of geometric construction exercises designed for students learning to use a compass and straightedge. It covers fundamental tasks such as copying triangles, scaling triangles to be twice or half the original size, and constructing specific types of triangles including equilateral, isosceles, and right triangles. Additionally, the document guides students through constructing triangles based on given parameters like side lengths, altitudes, and included angles, facilitating the practical application of geometric theorems.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/triangle-constructions/523008/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/triangle-constructions/523008.png","ImageObject",300,407,{"name":42,"@type":43},"Nguyễn Văn Học","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-09","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What tools are typically required to complete these geometric constructions?","Question",{"text":63,"@type":64},"These exercises are designed to be completed using a compass and a straightedge to ensure geometric accuracy.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you construct a triangle that is twice as large as the original?",{"text":68,"@type":64},"To construct a triangle with sides twice as long, you first measure the length of each side of the original triangle using a compass and then double that distance when marking the new vertices.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the process for constructing an isosceles triangle given its base and altitude?",{"text":72,"@type":64},"First, draw the base segment, find its midpoint, and construct a perpendicular line through that midpoint. Then, mark a point on the perpendicular line at the distance equal to the altitude to form the apex of the triangle.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523008,1791498416,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":111,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":117,"preview_page_count":4},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Kuta Software-Infinite Geometry Name   \nTriangle Constructions Date  Period   \nConstruct a copy of each triangle given.  \n1)  \nConstruct a triangle whose sides are twice as long as the sides of the given triangle.  \n2)  \nConstruct a triangle whose sides are half as long as the sides of the given triangle.  \n3)  \nConstruct an equilateral triangle.  \n4)  \nConstruct an isosceles triangle given the length of the base and the length of the sides.  \n5)  \nBase: ~~ ~~  \nSide: ~~ ~~  \nConstruct an isosceles triangle given the length of the base and the length of the altitude.  \n6)  \nBase: ~~ ~~  \nAltitude: ~~ ~~  \nConstruct a right triangle given the hypotenuse and a leg.  \n7)  \nHypotenuse: ~~ ~~  \nLeg: ~~ ~~  \nConstruct a triangle given the three side lengths.  \n8)  \nSide 1: ~~ ~~  \nSide 2: ~~ ~~  \nSide 3: ~~ ~~  \nConstruct triangle ABC given two sides and the included angle.  \n9)  \nA  \nA ~~ ~~ C  \nA ~~ ~~ B  \nKuta Software-Infinite Geometry Name   \nTriangle Constructions Date  Period   \nConstruct a copy of each triangle given.  \n1)  \nConstruct a triangle whose sides are twice as long as the sides of the given triangle.  \n2)  \nConstruct a triangle whose sides are half as long as the sides of the given triangle.  \n3)  \nConstruct an equilateral triangle.  \n4)  \nConstruct an isosceles triangle given the length of the base and the length of the sides.  \n5)  \nBase: ~~ ~~  \nSide: ~~ ~~  \nConstruct an isosceles triangle given the length of the base and the length of the altitude.  \n6)  \nBase: ~~ ~~  \nAltitude: ~~ ~~  \nConstruct a right triangle given the hypotenuse and a leg.  \n7)  \nHypotenuse: ~~ ~~  \nLeg: ~~ ~~  \nConstruct a triangle given the three side lengths.  \n8)  \nSide 1: ~~ ~~  \nSide 2: ~~ ~~  \nSide 3: ~~ ~~  \nConstruct triangle ABC given two sides and the included angle.  \n9)  \nA  \nA ~~ ~~ C  \nA ~~ ~~ B  \nA  \nC  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiulLNyTDm9l6","https://ap.wps.com/l/cbCaiulLNyTDm9l6","pdf",40260,"English","# Geometric Construction Exercises\n## Scaling and Copying Triangles\n## Constructing Specialized Triangles\n## Constructing Triangles from Given Parameters","[{\"question\":\"What tools are typically required to complete these geometric constructions?\",\"answer\":\"These exercises are designed to be completed using a compass and a straightedge to ensure geometric accuracy.\"},{\"question\":\"How do you construct a triangle that is twice as large as the original?\",\"answer\":\"To construct a triangle with sides twice as long, you first measure the length of each side of the original triangle using a compass and then double that distance when marking the new vertices.\"},{\"question\":\"What is the process for constructing an isosceles triangle given its base and altitude?\",\"answer\":\"First, draw the base segment, find its midpoint, and construct a perpendicular line through that midpoint. Then, mark a point on the perpendicular line at the distance equal to the altitude to form the apex of the triangle.\"}]","Triangle Constructions | PDF",1791426403]