1 / 10

A n g l e s

A n g l e s. a n d. T r i a n g l e s. 2 3. S i m i l a r T r i a n g l e s. A s s i g n m e n t T e s t. 1. 4. I n t h e fi g u r e , [ A D ] ∩ [C B ] = {E} , | A E | = 4 c m , | E B | = | E C | = 6 c m , | E D | = 9 c m , a n d | D C | = 8 c m. A D x 4 6 7 E 5 F B 15 2 C. B

zaynah
Download Presentation

A n g l e s

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Angles and Triangles 23 SimilarTriangles AssignmentTest 1. 4. Inthefigure, [AD]∩[CB]={E}, |AE|=4cm, |EB|=|EC|=6cm, |ED|=9cm,and |DC|=8cm. AD x4 6 7 E5F B 15 2C B x A 4 E 6 9 C 8 D 6 Inthefigure,m(AéBC)=m(DéFE). Whatis|ED|=xincm? Whatis|AB|=xincm? D B 2. Inthefigure, A 13x 17E 25 B1D9C ABCisatriangle, 5. Inthefigure, A 4 D 10 8x B6E10C |BD|=1cm, |AC|=10cm, |EC|=10cm, |AD|=4cm, |BD|=8cm, |BE|=6cm. |DC|=9cm, |EC|=5cm, |AE|=13cm,and FindthelengthofABincm. C Whatis|DE|=xincm? A)13 B)15 C)17 D)19 E)24 B A)4 B)5 C)6 D)7 E)8 3. Inthefigure, ABCandCDEaretriangles, A 7 8 6 5D 4 BxC 6. Inthefigure, AB 1510 E x9 CD [AB]//[CD], |AE|=15cm, |ED|=9cm, |BE|=10cm,and |EC|=x. ëA)=m(ëD), m( E |AB|=8cm, |AE|=7cm, |EC|=5cm, |ED|=6cm,and |CD|=4cm. Whatisthevalueofx? Whatis|BC|=xincm? C C A)8 B)7 C)6 D)5 E)4 A)15 B)12 C)10 D)9 E)6

  2. 23 AnglesandTriangles AssignmentTest 7. 10. Inthefigure, [AB]//[DC], Inthefigure, |AD|=4cm, |DB|=8cm, |BE|=12cm, |EC|=6cm,m(DéEB)=70°. A 1 D C 2 4 D 3 2 x 8 1 |AB|=2cm, |DB|=1cm,and 70° 6 B E C 12 A B 2 Whatisthemeasure degrees? of theangleACBin Whatis|BC|=xincm? A)50 B)55 C)60 D)65E)70 11. Inthefigure, [DE]//[BC], |DB|=6cm, |DE|=8cm,and |BC|=14cm. A 8. Inthefigure, [DE]//[BC], |AD|=8cm, |DB|=4cm,and |EC|=3cm. A x 8 x DE 8 6 DE 4 3 B C 14 Find|AD|=xincm. B C Whatis|AE|=xincm? A)6 B)7 C)8 D)9 E)12 A)9 B)8 C)7 D)6 E)4 12. Inthefigure, [DE]//[BC], [EF]//[CD], |BC|=8cm, |EF|=9cm,and |CD|=12cm. A 9. Inthefigure, ABCisatriangle, [DE]//[BC], |BD|=7cm, |AE|=6cm, |AD|=n,and |EC|=m. A D n 6 x B DE F E 9 8 7 m C D 12 B C Whatis|DE|=xincm? Whatisthevalueoftheproductm⋅n? A)42 B)36 C)28 D)21 E)14

  3. Angles and Triangles 24 SimilarTriangles AssignmentTest 1. 4. Inthefigure, [DE]//[AC], |BE|=8cm, |EC|=4cm, |DE|=6cm,and |AC|=x. Inthefigure, [AC]⊥[AB],[DE]⊥[AB], |EC|=5cm, |BE|=a, |AD|=a,and |BD|=x. A D x 6 B8E4C A a D x BaE5C Whatisxintermsofa? E Whatis|AC|=xincm? D A)15 B)12 C)10 D)9 E)8 2. Inthefigure, A x+1 D x–2 Bx+5ExC 5. A x DE 4 B12C [DE]//[AB], |BE|=x+5, |EC|=x, |DC|=x–2, |AD|=x+1. Inthefigure,ABCisatriangle,[CD]isanangle bisector,[DE]//[BC],|BC|=12cm,and|EC|=4cm. Whatis|AE|=xincm? Whatisxincm? E A)1 B)2 C)3 D)4 E)5 E A)8 B)6 C)4 D)3 E)2 6. Inthefigure, ABCisatriangle, [DE]//[BC], 7⋅|DE|=3⋅|BC|, |AD|=n,and |DB|=m. A n DE m BC 3. Inthefigure, A 3 K 4 F 2 x E D [KF]//[AC], m(BéFE)=90°, B C m(BéCD)=90°, |BK|=4cm, |AK|=3cm, and |FE|=2cm. Whatisthevalueoftheratio ? E Find|CD|=xincm. B A)3 B)3,5 C)4 D)4,5 E)5

  4. AssignmentTest24 AnglesandTriangles 7. 10. Inthefigure, ABCisatriangle, [DE]//[BC], |DE|=x–3, |BC|=2x+4,and |BD|=2⋅|AD|. Inthefigure, m(BéAC)=m(BéDE), |BD|=x+1, |BE|=2x–1, |DA|=2cm,and |EC|=3cm. A A 2 D D E x–3 x+1 2x–1 B E 3 C B C 2x+4 WhatisthelengthofBEincm? FindthelengthofDEincm. A)6 B)7 C)8 D)9 E)10 A)7 B)8 C)9 D)10 E)13 11. Inthefigure, ABCisanequilateral triangle, m(DéBA)=15°, |BD|=8ñ6cm,[DE]⊥[BC], [FH]⊥[BC],and C|DF|=|FC|. A 8. Inthefigure, [AD]//[EF], [FH]//[BC], |AD|=6cm, |EF|=4cm,and |FH|=5cm. D 6 D A F E 4 8S6 15° 5 H F x B E H Whatis|HC|=xin? x C B A)1 B)2 C)3 D)4 E)5 Whatis|BC|=xincm? A)15 B)12 C)10 D)9 E)8 12. Inthefigure, ABCisarighttriangle, BDEFisasquare, |AB|=4cm,and |BC|=3cm. A 9. Inthefigure, ABCisatriangle, [DE]//[BC], [FE]//[DC], |AE|=10cm, |EC|=5cm, |AF|=8cm,and |DB|=x A 8 10 E F F D E x B D C 5 B C Whatisthelengthofonesideofthesquare? Whatisthevalueofx? A)6 B)5 C)4 D)3 E)2

  5. Angles and Triangles 25 SimilarTriangles AssignmentTest 1. 4. Inthefigure, D 60° 46 50°60°70° BCEF A 13 12 D 4m BnE6C ABCisatriangle, m(BéAC)=m(DéEC), |AB|=12cm, |AD|=13cm, |EC|=6cm,and |DE|=4cm. A Inthefigure,m(ëB)=50°,m(ëC)=60°,m(ëD)=60°, m(ëE)=70°,|AC|=4cm,and|DE|=6cm. Whatisthescalefactorofsimilarity? Whatisthevalueoftheratio ? A B 5. A 10 D 4x B8C 2. Inthefigure, A 5 D7 9 E x BC ABCisatriangle, m(AéBC)=m(DéEA),), |AD|=5cm, |DB|=9cm,and |AE|=7cm. Inthefigure,m(BéAC)=m(BéCD),|AC|=10cm, |BC|=8cm,|BD|=4cm,and|DC|=x. Whatis|EC|=xin cm? Find|DC|=xincm? C B A)1 B)2 C)3 D)4 E)5 A)6 B)5 C)4 D)3 E)2 6. 3. EA 6x9 B10CD A x D 5 B12E3C Inthefigure,ABCisatriangle,m(BéAC)=m(DéEC), |BE|=12cm,|EC|=3cm,and|DC|=5cm. Inthefigure,[AB]⊥[AC],[AC]⊥[CE],[ED]⊥[BD], |AC|=6cm,|BC|=10cm,and|DE|=9cm. Whatis|CE|=xincm? Whatis|AD|=xincm? C B A)2 B)3 C)4 D)5 E)6 A)17 B)15 C)13 D)12 E)10

  6. AssignmentTest25 AnglesandTriangles 7. 10. Inthefigure, m(BAéC)=m(DBé |AB|=4cm, Inthefigure, ABCisatriangle, m(BéAC)=m(DéEC), |AB|=10cm, |DE|=5cm, |BE|=8cm, A A C), x D D 4 10 3 |BD|=3cm,and |BC|=8cm. x 5 6 C B 8 B 8 C E |DC|=6cm. Whatis|DC|=xincm? Whatis|AD|=xincm? A)3 B)4 C)5 D)6 E)8 A)1 B)2 C)3 D)4 E)5 8. Inthefigure, ABCisaright triangle, [AB]⊥[AC], [DH]⊥[BC], |AD|=2cm, |DC|=10cm, |DH|=8cm. 11. Inthefigure, ABCisaright triangle, m(AéBC)=m(DéAC), |BD|=5cm, |DC|=4cm,and |AC|=x. A A 2 D x 10 8 B H C 4 B D C 5 Whatis|AC|=xincm? Whatis|BH|incm? A)10 B)9 C)8 D)6 E)4 A)20 B)18 C)16 D)15 E)14 9. Inthefigure, [AB]⊥[BC], [AB]⊥[AD],[DE]⊥[AC], |AB|=12cm, |BC|=9cm, |AD|=6cm,and |DE|=x. A 6 D 12. Inthefigure, D A x E ABCisatriangle, [AD]//[BC], [AB]//[DE], |DE|=6cm,and |AE|=|EC|=5cm. 5 6 12 x E 5 B C 9 C B Whatis|DE|=xincm? Whatisthevalueofx? A)12 B)13 C)14 D)16 E)18

  7. Angles and Triangles 26 SimilarTriangles AssignmentTest 1. 4. Inthefigure, [DC]//[EF]//[AB], |AB|=18cm, |EF|=6cm,and |DC|=x. Inthefigure, A D xF 3 B4E6C DxC E6F A18B ABCisatriangle, |AB|=|AC|, m(BéDE)=m(FéEC), |BE|=4cm, |EC|=6cm,and |FC|=3cm. Whatis|DB|=xincm? Whatis|DC|=xincm? C B A)4 B)6 C)8 D)10 E)12 A)8 B)9 C)10 D)12 E)15 5. Inthefigure, ABCisa triangle, |AD|=|DB|, |BE|=|EC|, |DK|=2⋅|KC|, |FC|=4cm. A x D FK 4 BEC 2. Inthefigure, [DH]⊥[BC], [AB]⊥[AC], |HB|=|HC|, |AD|=3cm, |BD|=5cm. A 3 D 5 BH C Whatis|BH|incm? Whatis|AF|=xincm? C D C)2ñ5 E)4ñ2 A)8 B)9 C)10 D)12 E)16 A)3 B)4 D)5 6. Inthefigure, ABCisa triangle, [DE]//[BC], |AD|=6cm, |DB|=4cm, |FC|=8cm. A 6 DE x 4F 8 BC 3. Inthefigure, [AC]⊥[BE],[AB]⊥[ED], |AD|=2cm, |BC|=3cm, |CE|=5cm, |BD|=x. A 2 D F x B3C5E Whatis|BD|=xincm? Whatis|DF|=xincm? C E A)6 B)5 C)4 D)3 E)2 A)2,8 B)3,2 C)3,6 D)4,2 E)4,8

  8. AssignmentTest26 Inthefigure, [DC]//[EF]//[AB], |DE|=10cm, |EA|=12cm, |FB|=9cm,and |CF|=x. AnglesandTriangles 7. 10. Inthefigure, [DB]isanangle bisector, A D C 10 x 6 m(DéBA)=m(BéCD), |AD|=6cm,and |BD|=8cm. E F 8 D B 12 9 x A B C Whatis|CF|=xincm? Whatis|CD|=xincm? 11. Inthefigure, [FK]//[DE]//[BC], |AF|=3cm, |FD|=4cm, |DB|=6cm, |AK|=a,and |KE|=2a–1. A 8. Inthefigure, d1//d2//d3, |AB|=6cm, |BC|=8cm,and |DE|=4cm. 3 a A D d1 FK 4 E 6 B 4 2a–1 d 2 D E x F 8 C 6 x d 3 B C Whatis|EF|=xincm? Whatis|EC|=xincm? A)3 B)4 C)5 D)6 E)7 9. 12. Inthefigure, [AD]//[BE]//[CF], |DE|=2x, |EF|=3x+1, |AB|=x,and |BC|=4x. Inthefigure, D F 3x+1 E [AD]⊥[AB], [AB]⊥[BC],[AB]⊥[EF], |AD|=9cm, |BC|=6cm, |AF|=12cm 2x D C 9 E 6 x C 4x A B x A 12 F B Whatis|AB|=xincm? Whatis|FB|=xincm? A)12 B)10 C)9 D)8 E)6

  9. AnglesandTriangles 27 SimilarTriangles AssignmentTest 1. 4. DC x E 4 F 5 ABK C D E6 AFB 4 x Inthefigure,[AD]//[EF]//[BC],|AD|=4cm,and |BC|=6cm. Inthefigure,ABCDisaparallelogram,D,E,F,Kand A,E,Carecollinearpoints,|EF|=4cm,|FK|=5cm. Whatis|EF|=xincm? Whatis|DE|=xincm? B C A)2 B)2,4 C)3 D)3,6 E)4 A)9 B)8 C)6 D)5 E)4 5. Inthefigure, ABCisatriangle, [DE]//[BC], 2. A DE BC Inthefigure, ABCDisa parallelogram,A,E,F,K K x DF 2 E 4 AB andB,C,K collinearpoints, |AE|=4cm,and |EF|=2cm. are C A(ADE)=12cm2. WhatistheareaofthetriangleABCincm2? Whatis|FK|=xincm? B A A)18 B)27 C)36 D)45 E)54 A)6 B)5 C)4 D)3 E)2 6. Inthefigure, |BD|=|DC|, |AE|=4cm, |AF|=6cm, |FC|=9cm,and |EB|=x. A 46 EF K x9 BDC 3. Inthefigure, ABCisatriangle, [DE]//[AC], |BE|=4cm, |EC|=6cm,A(DECA)=42cm2 A D B4E6C WhatistheareaofthetriangleBEDincm2? Whatis|EB|=xincm? A C A)8 B)12 C)16 D)20 E)21 A)4 B)5 C)6 D)8 E)9

  10. AssignmentTest27 Inthefigure, |AF|=9cm, AnglesandTriangles 7. 10. A A 4 x |FB|=6cm, |AE|=4cm, |EC|=8cm,and |BD|=3cm. 9 E E F 8 F 8 6 K B D C x B3 D C Inthefigure,ABCisatriangle,[AD]isamedian, |AF|=|FD|,|EC|=8cm,and|AE|=x. Whatis|DC|=xincm? A)6 B)7 C)8 D)9 E)12 Whatis|AE|=xincm? A)6 B)5 C)4 D)3 E)2 11. Inthefigure, ABEandADCare triangles, AE|=5cm, |AD|=6cm, |EC|=6cm, |DB|=9cm, |DF|=3cm,and |FC|=x. A 8. Inthefigure, |BF|=|FA|, |BC|=2cm, |AE|=2cm,and |EC|=1cm. 6 5 A E D 3 2 F 6 F x 9 E 1 C x D C 2 B B Whatis|CD|=xincm? Whatis|FC|=xincm? A)4 B)5 C)6 D)8 E)9 12. Inthefigure, ABCisatriangle, |BD|=6cm, |DC|=8cm, |CE|=4cm,and |AE|=5cm. 9. A Inthefigure, ABCisatriangle, D,B,CandD,E,F arecollinearpoints, |AE|=8cm, |EB|=4cm, |DB|=4cm, |BC|=6cm,and |FC|=5cm. A 5 x 8 E F 4 F E 5 8 6 D C B 4 Whatisthevalueoftheratio ? D4B C 6 Whatis|AF|=xincm? A)2 B)3 C)4 D)5 E)6

More Related