5 Reasoning Copy this diagram. y 8 6 4 A 2 28 26 22 24 0 2 4 6 8 x 22 24 26 28 a Translate shape A by −5 . Label the image B. −4 4 b Translate B by . Label the image C. 2 c Write the column vector for the translation that takes shape A to shape C. Discussion Could you have worked out the answer to part c without drawing the diagram? 6 Problem-solving On a grid a translation of −2 takes shape A to 5 shape B and 4 takes shape B to shape C. Q6 hint −1 Write down the column vector that takes Look at your answer to Q5. a shape A directly to shape C b shape C directly to shape A 7 Problem-solving This triangle is enlarged by scale factor 5. Work out the length of the perimeter of the enlarged triangle. 4 cm 8 Copy this diagram. 3 cm y 10 9 8 7 6 B 5 4 3 A 2 1 0 C 1 2 3 4 5 6 7 8 9 10 11 12 x a Enlarge the triangle by scale factor 2, centre of enlargement (1, 1). b Work out the length of the line BC in the enlargement. 9 Decide if each statement is true (T) or false (F). a A shape and its reflection are congruent. b A shape and its translation are congruent. c A shape and its enlargement are always congruent. d A shape and its rotation are congruent. Unit 5 Transformations 124