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Shape, Space and Measures

Transformations and enlargements - higher - Test

Graph showing triangles and transformations

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.

Graph showing triangles and transformations

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)?

Graph showing triangles and transformations

13.

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

rectangle

Questions 14 and 15 refer to the following diagram.

Graph showing rectangles and transformations

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)?