Teacher's Guide - Pearson

Extension Activity 6.1 (Student’s Book page 103)1. 23 cm2. a) 39.8 cmb) 6.64 cmc) 229.1 cm 2Support Activity 6.2 (Student’s Book page 104)1. GXY5.2 cmIH2. YG 5 5.2 cm (Midpoint theorem)3. GH 5 5.2 1 5.2 5 10.4 cmExercise 6.2 (Student’s Book page 104)1. The straight line drawn through the midpoint of one side of a triangle parallel toanother bisects the third side.2.a) U is the midpoint of EF and S is theEmidpoint of ED, therefore US||FD.b) EP 5 PT (US bisects a line drawn fromE to FD)c) 20 cm, as it is given that the triangleUPsides are 40 cm, and that U and S areSmidpoints on the sides. The Midpointtheorem states that a line joining themidpoints of two sides of a triangle ishalf as long as the third side, soFDTUS = 1__2 ​ FD3. She needs to pull a line parallel to the first floor until she meets the third side ofthe roof. That point will be the bisector of that side.4. a) Since D is the midpoint of CF and DE is parallel to FG, then according to theconverse of the midpoint theorem, E is the midpoint of CG and bisects CG.b) B divides CA into two equal parts. Therefore CB is 1__ ​AC = 3.1 cm.2Chapter 6: Triangles37