[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-400247-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-400247-en":131},{"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","regents-exam-questions-gsrtb5-similarity-1-practice-problems","Regents Exam Questions G.SRT.B.5 - Similarity 1 - Practice Problems","","Regents-style practice questions for unit G.SRT.B.5 focus on triangle similarity and proportional reasoning. Problems ask students to identify angles that make triangles similar or determine which statements are always true or not always true. Several items require setting up and solving proportions from intersecting lines, perpendicular segments, or similar triangles in diagrams. Additional tasks include justifying similarity using angle congruence and SAS, and finding missing lengths using scale factors.",{"@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/regents-exam-questions-gsrtb5-similarity-1-practice-problems/400247/",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/regents-exam-questions-gsrtb5-similarity-1-practice-problems/400247.png","ImageObject",300,407,{"name":42,"@type":43},"moss~","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-27",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do these problems test triangle similarity in G.SRT.B.5?","Question",{"text":63,"@type":64},"They use congruent angle relationships and proportional side setups, often requiring students to match which statement is always true or not always true based on similarity.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of reasoning are used to solve for missing lengths?",{"text":68,"@type":64},"Most questions determine similarity first, then apply corresponding side ratios (proportions) to compute unknown segment lengths.",{"name":70,"@type":61,"acceptedAnswer":71},"When is SAS similarity justification required?",{"text":72,"@type":64},"Some items explicitly ask which information proves similarity by SAS, typically using two pairs of sides proportional together with an included angle congruence.","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},400247,1790765289,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":55,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":113,"preview_page_count":4},962090895452,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Regents Exam Questions G.SRT.B.5: Similarity 1 Name:    \n[www.jmap.org](www.jmap.org)  \nG.SRT.B.5: Similarity 1  \n1 Triangle JGR is similar to triangle MST. Which statement is not always true?  \n1) ∠J ≅ ∠M  \n2) ∠G ≅ ∠T  \n3) ∠R ≅ ∠T  \n4) ∠G ≅ ∠S  \n2 Given right triangle ABC with a right angle at C, m∠B = 61° . Given right triangle RST with a right angle at T, m∠R = 29° .  \nWhich proportion in relation to ABC and RSTis not correct?  \n1) ~~ ~~ABRS = RATC  \n2) ~~ ~~BCST = ARBS  \n3) ~~ ~~BCST = ARCT  \n4) ~~ ~~ABAC = RRST  \n3 As shown in the diagram below, AB and CD intersect at E, and AC 􀁾 BD .  \nGiven AEC ∼ BED, which equation is true? CE   EB  \n1) =  \nDE EA  \n2) ~~ ~~AEBE = ABCD  \n3) ~~ ~~ECAE = BEED  \n4) ~~ ~~EDEC = ABCD  \nRegents Exam Questions G.SRT.B.5: Similarity 1 Name:    \n[www.jmap.org](www.jmap.org)  \n4 In the diagram below, GT and PF intersect at E, and ∠P ≅ ∠F.  \nWhich equation is always true?  \n1) ~~ ~~PEFE = FPTG  \n2) ~~ ~~GTEE = FPTG  \n3) ~~ ~~PEGE = TFEE  \n4) ~~ ~~PEFE = PFGT  \n5 In the diagram below of isosceles triangle AHE  with the vertex angle at H, CB⊥AE and FD⊥AE.  \nWhich statement is always true? AH   EH  \n1) =  \nAC EF  \n2) ~~ ~~ACEF = AEBD  \n3) ~~ ~~ABED = CFBE  \n4) ~~ ~~ADAB = BDEE  \n6 In the diagram below of ABC, X and Y are points  \non AB and AC, respectively, such that m∠AYX = m∠B.  \nWhich statement is not always true? AX   XY  \n1) =  \nAC CB  \n2) ~~ ~~AYAB = AAXC  \n3) (AY)(CB) = (XY)(AB)  \n4) (AY)(AB) = (AC)(AX)  \n7 In the diagram below, AB and CD intersect at E, and CA and DB are drawn.  \nIf CA 􀁾 BD  , which statement is always true?  \n1) AE ≅ BE  \n2) CA ≅ DB  \n3) AEC ∼ BED  \n4) AEC ≅ BED  \nRegents Exam Questions G.SRT.B.5: Similarity 1 [www.jmap.org](www.jmap.org)  \n8 In the diagram below, XS and YR intersect at Z.   Segments XY and RS are drawn perpendicular to YR to form triangles XYZ and SRZ.  \nWhich statement is always true?  \n1) (XY)(SR) = (XZ)(RZ)  \n2) XYZ ≅ SRZ  \n3) XS ≅ YR  \n4) ~~ ~~XSYR = YRZZ  \n9 Triangles ABC and DEF are drawn below.  \nIf AB = 9, BC = 15 , DE = 6, EF = 10 , and ∠B ≅ ∠E, which statement is true?  \n1) ∠CAB ≅ ∠DEF  \n2) ~~ ~~ABCB = FDEE  \n3) ABC ∼ DEF AB   FE  \n4) =  \nDE CB  \nName:    \n10 In the diagram below, ABC ∼ DEF.  \nIf AB = 6 and AC = 8, which statement will justify similarity by SAS?  \n1) DE = 9 , DF = 12 , and ∠A ≅ ∠D  \n2) DE = 8 , DF = 10 , and ∠A ≅ ∠D  \n3) DE = 36 , DF = 64 , and ∠C ≅ ∠F  \n4) DE = 15 , DF = 20 , and ∠C ≅ ∠F  \n11 In the diagram below, AC = 7.2 and CE = 2.4.  \nWhich statement is not sufficient to prove ABC ∼ EDC?  \n1) AB 􀁾 ED  \n2) DE = 2.7 and AB = 8.1  \n3) CD = 3.6 and BC = 10.8  \n4) DE = 3.0 , AB = 9.0, CD = 2.9, and BC = 8.7  \nRegents Exam Questions G.SRT.B.5: Similarity 1 Name:    \n[www.jmap.org](www.jmap.org)  \n12 Using the information given below, which set of  \ntriangles can not be proven similar?  \n1)  \n2)  \n3)  \n4)  \n13 In the diagram below, AD intersects BE at C, and AB 􀁾 DE .  \nIf CD = 6.6 cm, DE = 3.4 cm, CE =  4.2 cm, and BC = 5.25 cm, what is the length of AC, to the nearest hundredth of a centimeter?  \n1) 2.70 2) 3.34 3) 5.28  \n4) 8.25  \n14 In the diagram below, EM intersects HA at J, EA⊥HA , and EM ⊥HM .  \nIf EA = 7.2 , EJ = 9 , AJ = 5.4, and HM = 3.29 ,  \nwhat is the length of MJ, to the nearest hundredth?  \n1) 2.47 2) 2.63 3) 4.11  \n4) 4.39  \nRegents Exam Questions G.SRT.B.5: Similarity 1 Name:    \n[www.jmap.org](www.jmap.org)  \n15 In SC U shown below, points T and O are on SU and CU , respectively. Segment OTis drawn so that ∠C ≅ ∠OTU.  \nIf TU = 4, OU = 5, and OC = 7, what is the length of ST?  \n1) 5.6 2) 8.75 3) 11  \n4) 15  \n16 In triangle CHR, O is on HR , and D is on CR so that ∠H ≅ ∠RDO.  \nIf RD = 4 , RO = 6 , and OH = 4, what is the length of CD?  \n1) 2 ~~ ~~23 2) 6 ~~ ~~23 3) 11  \n4) 15  \n17 In ABC shown below, ∠ACB is a right angle, Eis a point on AC, and ED is drawn perpendicular to hypotenuse AB.  \nIf AB = 9, BC = 6 , and DE = 4 , what is the length of AE?  \n1) 5 2) 6 3) 7  \n4) 8  \n18 In the diagram below, AF, and DB inters","cbCaib8as8nyPN82","https://ap.wps.com/l/cbCaib8as8nyPN82","pdf",504451,"English","# Similarity 1 Questions\n## Angle congruence and similarity checks\n## Proportions from intersecting lines and right triangles\n## Justifying similarity using SAS\n## Finding missing lengths using similarity","[{\"question\":\"How do these problems test triangle similarity in G.SRT.B.5?\",\"answer\":\"They use congruent angle relationships and proportional side setups, often requiring students to match which statement is always true or not always true based on similarity.\"},{\"question\":\"What types of reasoning are used to solve for missing lengths?\",\"answer\":\"Most questions determine similarity first, then apply corresponding side ratios (proportions) to compute unknown segment lengths.\"},{\"question\":\"When is SAS similarity justification required?\",\"answer\":\"Some items explicitly ask which information proves similarity by SAS, typically using two pairs of sides proportional together with an included angle congruence.\"}]","Regents Exam Questions G.SRT.B.5 - Similarity 1 - Practice Problems | PDF",1790509420]