Teacher's Guide - Pearson

Support Activity 6.4 (Student’s Book page 110)5. Ratios are equalHomework Activity (Student’s Book page 112)1. AAA (3 pairs of corresponding angles are equal)Exercise 6.4 (Student’s Book page 113)1. a) EMP and JFKb) JFc) ___ EM​JF ​ = ​ 1__3 ​d) i) EP 5 3 cmii) FK 5 12.9 cm2. ACB 5 RCT (Vertically opposite angles)CAB 5 CRT (Alternating angles and parallel lines)ABC 5 RTC (Alternating angles and parallel lines)∴ by the AAA property the triangles are similar3. b) i) 6 cm ii) 4.8 cm iii) 9 cm iv) 4 cm v) 5.6 cm4. a) Yes, AAA 5.x__3 ​ = ___ ​ 1.24.5 ​b) ABR|||YXR ∴ x = 0.8 mc) ___ ARRY ​ = ___ ​ 169 ​d) AB = ________ 1.3 3 3.2​ ​1.8= 2.3 mExercise 6.5 (Student’s Book page 116)​ ​​ 1. a) x 5 7.2 cm b) p 5 70° and y 5 40° c) z 5 6.3 cm and q 5 40°2. a) SAS8b) (​ ___4.8 ​) 5 ________ (k 1 4.2)∴ k 5 2.8 cm4.2g(​ __6 ​) 5 (​ ___ 8​) ∴ g 5 10 cm4.83.43. a) Ratios: ___5.1 5 2__3 and ____ 4.56.75 5 2__3 ​The two corresponding sides are equal and the angle included, so the trianglesare similar.b) The scale factor of reduction is 2__3 ​.4. a) DE||BF and AD = DB∴ DE bisects ACb) DE = 1__ ​BC2(D and E are midpoints ofAB and AC)∴ AE = EC∴ 2DE = BCChapter 6: Triangles39