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The lesson reviews how similarity differs from congruence, then defines congruent triangles using corresponding parts. Activities include writing congruency statements, listing all congruent corresponding parts, and solving for variables using given triangle congruence relationships such as ΔEFG ≌ ΔHGF and CPCTC-based angle/side equality. Homework practices find x and y from angle and segment expressions, identify congruent triangles from coordinate graphs, and state corresponding congruent parts for two given triangles.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/unit-6-triangles-congruence-lesson-1-congruent-triangles-cpctc-homework/386619/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/unit-6-triangles-congruence-lesson-1-congruent-triangles-cpctc-homework/386619.png","ImageObject",300,407,{"name":92,"@type":93},"Terk","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-09-24",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does CPCTC mean in congruent triangles?","Question",{"text":112,"@type":113},"CPCTC means corresponding parts of congruent triangles are congruent. When triangles are proven congruent, the matching angles and sides are equal.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you write a congruency statement for two triangles?",{"text":117,"@type":113},"Use the triangle names in corresponding order. For example, if ΔEFG ≌ ΔHGF, then E corresponds to H, F corresponds to G, and G corresponds to F.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of problems are in the homework for this lesson?",{"text":121,"@type":113},"The homework asks to find values of x and y from angle/side expressions, determine congruent triangles on a graph, and state the corresponding congruent parts for two coordinate-defined triangles.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},386619,1790507214,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},1099525198933,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","TEST DATE:               \nQUIZ DATE:             \nName                                                  \nMath 2  \n_Pd        \nUnit 6-Triangles &Congruence  \nDate                                    \n# Lesson 1→Congruent Triangles &CPCTC\n\n>Review:Similar triangles are the SAME SHAPE but DIFFERENT SIZES.In order for two triangles to besimilar,the corresponding angles must be congruent and the corresponding sides must be proportional.  \nand the same                    \nCongruent Triangles:Triangles that are the same              \nEach triangle has three congruent              _and three congruent  \n                    \n,then the triangles are  \n■ If all SIX of the corresponding parts of two triangles are                    \n\n| Congruent Triangles:  \u003Cbr>Corresponding Congruent Angles:  \u003Cbr>Corresponding Congruent Sides:   |\n| --- |\n\n# >Definition of Congruent Triangles(CPCTC):\n\n·Two triangles are congruent if and only if their corresponding parts are                    \n·CPCTC-Corresponding Parts of Congruent Triangles are Congruent  \n1.Write a congruency statement for the two triangles at right.  \nE  \n2.List ALL of the congruent parts if△EFG≌△HGF.  \n3.△WXY≌ △ZYX Solve for p and q.  \nZ  \ne9.I  \n4.△ADC≌ △CBA Solve for x.Then find the m∠B&m∠D.  \nDraw and label a diagram.Solve for the missing variable(s).  \n\n| 5.   If △BAT≌△DOG,and m∠B=14°.m∠G=29°and m∠0=(10x+7)°,find x and m∠0   |  |\n| --- | --- |\n| 6.  If△COw≥△PIG,and CO=25.CW=18.IG=23 and PG=7x-17.findx and PG   |  |\n| 7.If△DEF≥△PQR and DE=3x-10.OR=4x-23,PQ=2x+7 and EF=y,find x andy   |  |\n| 8.If △DEF≌△JKL and DE=x²-3x,KJ=28,m∠E=(y²+6y)°and m∠K=7°,find x andy   |  |\n\ng2  \n# Unit 6-Triangles &CongruenceUnit 6-Triangles &CongruenceLesson 1→Congruent Triangles &CPCTC HOMEWORK\n\nFind the values of x andy  \n\n| Given:  \u003Cbr>m∠R=(5x+70)°  \u003Cbr>QR=4y+2  \u003Cbr>1.  \u003Cbr>m∠C=(24x-25)°  \u003Cbr>BC=x+y   | Given:  \u003Cbr>PR=3x+y-1  \u003Cbr>m∠R=(90-y)°  \u003Cbr>2.  \u003Cbr>m∠C=13°  \u003Cbr>AC=32-x   |\n| --- | --- |\n| Given:  \u003Cbr>PQ=5x-31  \u003Cbr>AB=x+1  \u003Cbr>3.  \u003Cbr>QR=-3y-1  \u003Cbr>BC=9-y   | Given:  \u003Cbr>m∠A=(15y-3)°  \u003Cbr>PQ=11-x  \u003Cbr>4.  \u003Cbr>m∠P=(43-x)°    AB=3y+1   |\n| Given:  \u003Cbr>AB=2x+1 PQ=x+7  \u003Cbr>5.  \u003Cbr>QR=4y+3 BC=2y+11   | Given:  \u003Cbr>m∠P=(3x+10°  \u003Cbr>m∠Q=(3x)°  \u003Cbr>6.  \u003Cbr>m∠B=(x+46)°  \u003Cbr>m∠A=(x+20)°  \u003Cbr>Find the m∠P and the m∠Q.   |\n\n g   \n\n| 7.Graph eac  \u003Cbr>Identify tw  \u003Cbr>Label as △   |  |  |  |  | h line.  \u003Cbr>o congruent triangles for  \u003Cbr>ABC and as △DEF.  \u003Cbr>y   |  |  |  |  |  |  |  |  |  |  |  |  | med by    |  |  |  | the lines.   | 8.Consider 2 triangles,△ABC and △FDE,with vertices   |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | A:(0,7)B:(-4,0)C:(0,0)D:(2,3)E:(2,-1)F:(9,-1).   |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | Draw a diagram and then state the corresponding  \u003Cbr>congruent parts for the two triangles  \u003Cbr>y  \u003Cbr>x   |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | ","cbCaitbpV3rQLmGH","https://ap.wps.com/l/cbCaitbpV3rQLmGH","pdf",1351059,34,"English","# Lesson 1 → Congruent Triangles & CPCTC\n## Review: Similar triangles vs congruent triangles\n## Definition of congruent triangles (CPCTC)\n## Practice: write congruency statements and list congruent parts\n## Solve for missing variables using congruence\n## Homework: find x and y, identify congruent triangles, state corresponding parts","[{\"question\":\"What does CPCTC mean in congruent triangles?\",\"answer\":\"CPCTC means corresponding parts of congruent triangles are congruent. When triangles are proven congruent, the matching angles and sides are equal.\"},{\"question\":\"How do you write a congruency statement for two triangles?\",\"answer\":\"Use the triangle names in corresponding order. For example, if ΔEFG ≌ ΔHGF, then E corresponds to H, F corresponds to G, and G corresponds to F.\"},{\"question\":\"What kinds of problems are in the homework for this lesson?\",\"answer\":\"The homework asks to find values of x and y from angle/side expressions, determine congruent triangles on a graph, and state the corresponding congruent parts for two coordinate-defined triangles.\"}]","Unit 6 - Triangles & Congruence - Lesson 1 - Congruent Triangles & CPCTC Homework | PDF",1790275038,86]