Teacher's Guide - Pearson

Exercise 11.2 (Student’s Book page 193)1. Image triangle has vertices (1;6), (4;6) and (1;5)2. Image triangle has vertices (2;1), (3;22) and (3;1)3. Image triangle has vertices (5;3), (5;4) and (8;3)4. Image triangle has vertices (4;1), (4;2.5) and (8.5;1)Exercise 11.3 (Student’s Book page 195)1. a) Image triangle has vertices (25;25), (23;25) and (25;28).b) Rotation about centre (2;23) through 180˚ followed by translation by vector ( ​ ​ 0 0 ) ​or a rotation about (0;0) through 180° followed by a translation ( ​ ​ 4–6 ​ ) ​.c) Rotation through 290˚ about centre (0;0) followed by reflection in x 5 3 andthen translation by vector ​ ( ​ 2 0 ) ​.d) Image triangle has vertices (22;24), (22;210) and (2;24).2. a) H: (5;22); (5;27); (2;27)b) K: (7;22); (7;25); (2;25)c) Reflection in y 5 0 (x-axis)3. b) Enlargement, about centre (17;0) with scale factor 1.5.Extension Activity 11.1 (Student’s Book page 196)1. yA 2A 4A 3A 1x2. (4;1)​ ( ​ 210 ​ ​0 21 ​ ) ​ 5 (24;21) (A 2 ), (4;1)​ ( ​ 0 1 ​ ​1 0 ) ​ 5 (1;4) (A 3 ),(4;1)​ ( ​ 1 0 ​ ​0 1 ) ​ 5 (4;1)3. The matrix ​ ( ​ 210 ​ 21 ​0 ​ ) ​, as shown by point A . 24. ( ​ 1 0 ​ 1 ​0 ) ​, as this is the identity matrix for multiplication.5. The matrix ​ ( ​ 0 1 ​ ​1 0 ) ​6. ​ ( ​ 0 21 ​ ​1 0 ) ​Chapter 11: Transformation geometry61