Advanced Geometry Assignment Sheet Chapter 6: Similarity Draw sketches and show your work to earn full credit!! #43: Ratios, Proportions & the Geometric Mean (6.1) p. 360 – 363: # 3 – 45 odds, 49 – 57 odds, 68, 71 #44: Use Proportions to Solve Geometry Problems (6.2) p. 367 – 370: # 3 – 12, 16 – 18, 22, 24, 29, #45: Use Similar Polygons (6.3) p. 376 – 379: # 3 – 12, 14 – 17, 19 – 21, 23 – 26, 28, 34, 41 – 47 odds #46: Review for Quiz Worksheet #47: Prove Triangles are Similar by AA (6.4) p. 384 -387: # 3 – 17, 20, 21, 26 – 32, 41 – 45 #48: Prove Triangles are Similar by SSS & SAS (6.5) p. 391 – 395: #3 – 12, 14, 21 – 23, 25, 26, 33, 38, 43, 44 #49: Use Proportionality Theorems (6.6) p. 400 - 402 # 3 – 7 odds, 8, 9 – 17 odds, 24 #50: Chapter Review p. 418 – 421: # 4 – 18 #51: Algebra Review p. 423: #1 – 17 odds
Advanced Geometry Chapters 6 – Additional Answers #44: 4)
x y 9 ; 6) y ; 8) False; 10) True; 12) 34; 16) 12; 18) C; 20
22) a) 128 ft., b) 153.6 times; 24) B #45: 5 ; 10) 27.5, 12, 65; 12) 36 in.; 4 22 14) Sometimes; 16) Sometimes; 20) median, 9; 24) AC 22 , ED = 10; 25
6) D; 8) similar, ∆CDE ∼ ∆TUV,
26) about 201, 41.6; 28) D; 34) c) about 1116 miles; #47: 4) EF, FD, DE; 6) 15, x; 8) 30; 10) similar, ∆NYM ∼ ∆ZYX; 12) similar, ∆CBD ∼ ∆CAE; 14) similar, ∆NMP ∼ ∆NLQ; 16) B; 20) A; 26) Yes, by AA; 28) No, 87 + 94 =181 > 180; 30)
3 x; 4
32) a) AA, b) 78 m, c) 130 m; 42) ∠3 & ∠6, ∠4 & ∠5; 44) 180° #48: 10 16 20 2 ; 6) ∆JKL; 8) not similar; 10) ∆GHJ ∼ ∆FHK by SSS; 25 40 50 5 9 12) ∆XYZ ∼ ∆DJG by SAS; 14) D; 22) 42; 26) ; 38) about 15.4 ft; 44) 24 4
4)
#49: 24: a) Lot A: 50.0 yd, lot B: 58.4 yd, lot C: 64.7 yd b) Lot C; c) about $114,735; about $127,112 #50: 4)
15 3 25 5 , ; 6) 4 6 ; 8) ; 10) similar, ∆XYZ ∼ ∆PQR, ; 20 4 2 2
12) ∆SQR ∼ ∆STU by AA; 14) 324 ft.; 16) ∆QRU ∼ ∆QST by SSS; 18) parallel