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Shape, Space and Measures

# Transformations and enlargements - higher - Test

1.

Which triangle is a translation of triangle ABC?

2.

Which triangle is the image of triangle ABC after a reflection in the x axis?

3.

Which triangle is an enlargement of triangle ABC?

4.

What's the scale factor of the enlargement?

5.

Rotate triangle ABC ¼ turn clockwise around the origin. Label the new triangle A'B'C'. Which of the following are the correct coordinates for the point C?

6.

What's the displacement vector for the translation from X(9, -2) to X'(-1, 8)?

7.

What are the coordinates of point X (2, -3) after a reflection in y = 0?

8.

What are the coordinates of point X(2, -3) after a reflection in y = -x?

Use the diagram below for questions 9 to 11.

9.

What's the centre of rotation when a transformation moves triangle P(2, 2), Q(4, 4), R(4, 2) into triangle P'(-2, 2), Q'(-4, 4), R'(-2, 4)?

10.

What's the angle of rotation when a transformation moves triangle P(2, 2), Q(4, 4), R(4, 2) into triangle P'(-2, 2), Q'(-4, 4), R'(-2, 4)?
°

11.

What's the direction of rotation when a transformation moves triangle P(2, 2), Q(4, 4), R(4, 2) into triangle P'(-2, 2), Q'(-4, 4), R'(-2, 4)?

12.

What are the coordinates of B after an enlargement, scale factor 1/3, centre (0, 3)?

13.

What are the coordinates of L after an enlargement, scale factor -2, centre (2, 2)?

Questions 14 and 15 refer to the following diagram.

14.

Which of the following transformations moves ABCD to A'B'C'D'?

15.

What are the coordinates of point B after a reflection in y = x, followed by a clockwise rotation of 90°, centre (0, 0)?