Teacher's Guide - Pearson

11c h a p t e rTransformation geometrySyllabus: General objectiveThis chapter deals with understanding and using combined transformations.Specific objectives• y Draw combined transformations up to three different types.• y Identify and describe fully combined transformations involving up to threedifferent types.• y Solve problems involving combined transformations.AnswersActivity 11.1 (Student’s Book page 188)1. a) Flip in a mirror line.b) Shift or slide through a point (usually (0;0)) over a certain distance, i.e. by avector ​( ​ x y ​ ) ​.c) Rotated through a certain angle (usually 90˚ or 180˚) relative to a referencepoint.d) A shape is made bigger or smaller by a constant factor (scale factor).Exercise 11.1 (Student’s Book page 191)1. a) Translation by vector ​ ( ​ 4 6 ) ​b) Reflection in y 5 xc) Reflection in y 5 2d) Reflection in y 5 0e) Rotation about centre (0,0) through 90˚2. a) Image F: (22.5;2.5), (21;2.5) and (21;1.5)Note: an enlargement of 1__ ​is actually a reduction. To prevent confusion amongst2students, it is safer to talk of a reduction by a factor 1__ ​, so just point this out.2b) Image G: (25;2), (23;2) and (25;5)60 EXPLORING MATHEMATICS FORM 3