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Maths

Shape, Space and Measures

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?

(2, 1)

(-1, -2)

(1, 2)

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?

(2, 3)

(3, 2)

(-2, -3)

8.

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

(-3, 2)

(3, -2)

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)?

(0, 0)

(1, 1)

(1,0)

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)?

Clockwise

Anticlockwise

12.

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

(4, 3)

(-3, 4)

(3, 4)

13.

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

(8, 2)

(-8, -2)

(-4, -4)

Questions 14 and 15 refer to the following diagram.

14.

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

Translation

Reflection

Rotation

15.

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

(-2, 5)

(2, -5)

(-2, -5)