[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-630607-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-630607-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","exploring-2d-shapes-sheet-6-always-sometimes-or-never-true-answers","EXPLORING 2D SHAPES SHEET 6 - ALWAYS, SOMETIMES OR NEVER TRUE? - Answers","","Practice sheet answering “ALWAYS, SOMETIMES OR NEVER TRUE?” statements about 2D shapes and triangle/circle/ polygon properties. Includes six number- and geometry-based claims: scalene triangle side relationships, circle diameter versus radius, parallel sides in an octagon, angle sum in a triangle, congruence versus similarity when one shape is double the size, and angle measures in a regular/equilateral triangle. The provided answers include brief reasoning for each statement.",{"@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/exploring-2d-shapes-sheet-6-always-sometimes-or-never-true-answers/630607/",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/exploring-2d-shapes-sheet-6-always-sometimes-or-never-true-answers/630607.png","ImageObject",300,407,{"name":42,"@type":43},"Logic","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-05","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you decide whether each statement is always, sometimes, or never true?","Question",{"text":63,"@type":64},"Read the geometric rule being used (e.g., side relationships, angle sums, or diameter/radius). Then check whether the rule holds for all relevant shapes or only for some cases.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the correct reasoning for the triangle angle-sum statement?",{"text":68,"@type":64},"Angles in a triangle add up to 180°, and this holds for all triangles. The sheet provides reasoning that this is universally true.",{"name":70,"@type":61,"acceptedAnswer":71},"Why is “twice the size” not the same as congruent shapes?",{"text":72,"@type":64},"The sheet explains that the shapes become similar rather than congruent: congruent shapes have both the same size and shape.","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},630607,1792920246,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"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":55,"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":26,"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":55},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","Name Date  \nEXPLORING 2D SHAPES SHEET 6  \nALWAYS, SOMETIMES OR NEVER TRUE?  \nFor each of the statements below, tick whether they are always true, sometimes true or never true. Can you explain your reasoning by drawing or writing?  \n\n|  | STATEMENT | ALWAYS, SOMETIMES OR NEVER TRUE? | REASONING |\n| --- | --- | --- | --- |\n| 1) | The longest side of a scalene triangle is always larger than the other two sides added together. | ALWAYS SOMETIMES NEVER |  |\n| 2) | The diameter of a circle is half the radius. | ALWAYS SOMETIMES NEVER |  |\n| 3) | An irregular octagon has 4 pairs of parallel sides. | ALWAYS SOMETIMES NEVER |  |\n| 4) | Angles in a triangle add up to 180° . | ALWAYS SOMETIMES NEVER |  |\n| 5) | If one shape is twice the size of another shape, then the shapes are congruent. | ALWAYS SOMETIMES NEVER |  |\n| 6) | A regular triangle has all angles equal to 60° . | ALWAYS SOMETIMES NEVER |  |\n\nName Date  \nEXPLORING 2D SHAPES SHEET 6 ANSWERS  \nALWAYS, SOMETIMES OR NEVER TRUE?  \n|  | STATEMENT | ALWAYS, SOMETIMES OR NEVER TRUE? | REASONING |\n| --- | --- | --- | --- |\n| 1) | The longest side of a scalene triangle is always larger than the other two sides added together. | ALWAYS SOMETIMES\u003Cbr>NEVER | If you straightened the two smaller sides of the triangle out into a single straight line, it would have to be longer that the longest side. |\n| 2) | The diameter of a circle is half the radius. | ALWAYS SOMETIMES\u003Cbr>NEVER | The diameter of a circle is double the radius. \u003Cbr>\u003Cbr>diameter\u003Cbr>|\n| 3) | An irregular octagon has 4 pairs of parallel sides. | ALWAYS\u003Cbr>SOMETIMES\u003Cbr>NEVER | All regular octagons have 4 pairs of parallel sides. Some irregular octagons also have this property; most do not!\u003Cbr>\u003Cbr>NO\u003Cbr>|\n| 4) | Angles in a triangle add up to 180° . | ALWAYS\u003Cbr>SOMETIMES NEVER | This statement is true for all triangles. There is a good proof on this webpage.\u003Cbr>[www.mathsisfun.com/proof180deg.html](www.mathsisfun.com/proof180deg.html) |\n| 5) | If one shape is twice the size of another shape, then the shapes are congruent. | ALWAYS SOMETIMES\u003Cbr>NEVER | The two shapes are similar not congruent. Congruent shapes have the same size and shape as each other. |\n| 6) | A regular triangle has all angles equal to 60° and is also called an equilateral triangle. | ALWAYS\u003Cbr>SOMETIMES NEVER | As the angles in a triangle have to add up to 180°, and a regular shape has all angles equal, the angles in an equilateral triangle have to be 60° . |","cbCaivdw5eVc9lXi","https://ap.wps.com/l/cbCaivdw5eVc9lXi","pdf",176711,"English","# Exploring 2D Shapes Sheet 6 - Always, Sometimes or Never True?\n## Statements and answers","[{\"question\":\"How do you decide whether each statement is always, sometimes, or never true?\",\"answer\":\"Read the geometric rule being used (e.g., side relationships, angle sums, or diameter/radius). Then check whether the rule holds for all relevant shapes or only for some cases.\"},{\"question\":\"What is the correct reasoning for the triangle angle-sum statement?\",\"answer\":\"Angles in a triangle add up to 180°, and this holds for all triangles. The sheet provides reasoning that this is universally true.\"},{\"question\":\"Why is “twice the size” not the same as congruent shapes?\",\"answer\":\"The sheet explains that the shapes become similar rather than congruent: congruent shapes have both the same size and shape.\"}]","EXPLORING 2D SHAPES SHEET 6 - ALWAYS, SOMETIMES OR NEVER TRUE? - Answers | PDF",1792667973]