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Year 8 · Practice

Transformations — Year 8 Practice Questions

Work through these Year 8 practice questions on transformations. Try each one before revealing the worked solution.

Questions

1
[1 marks] Easy Translation

Describe the transformation that slides a shape 5 units to the right.

2
[2 marks] Medium Reflection

A shape is reflected in the x-axis. The point (3, 2) maps to which point?

3
[2 marks] Easy Translation

Translate the point (1, 1) by a column vector with top 4 and bottom 2.

4
[2 marks] Medium Rotation

The point (2, 0) is rotated 180° about the origin. Find its image.

5
[1 marks] Easy Enlargement

A shape is enlarged by scale factor 3. A side of length 2 cm becomes how long?

6
[2 marks] Medium Reflection

Reflect the point (−1, 4) in the y-axis.

7
[2 marks] Medium Describing a transformation

Write down everything needed to describe a rotation fully.

8
[3 marks] Hard Enlargement from a centre

A shape is enlarged by scale factor 2 from the origin. The point (3, 1) maps to which point?

Answers & Worked Solutions

Question 1 Solution

Step 1: A slide with no turning or flipping is a translation.

Step 2: It can be written as a column vector with top 5 and bottom 0.

Answer: A translation

Question 2 Solution

Step 1: Reflecting in the x-axis keeps x the same and changes the sign of y.

Step 2: (3, 2) maps to (3, −2).

Answer: (3, −2)

Question 3 Solution

Step 1: Move 4 right and 2 up.

Step 2: (1 + 4, 1 + 2) = (5, 3).

Answer: (5, 3)

Question 4 Solution

Step 1: A 180° rotation about the origin changes the sign of both coordinates.

Step 2: (2, 0) maps to (−2, 0).

Answer: (−2, 0)

Question 5 Solution

Step 1: Multiply the length by the scale factor.

Step 2: 2 × 3 = 6 cm.

Answer: 6 cm

Question 6 Solution

Step 1: Reflecting in the y-axis changes the sign of x and keeps y.

Step 2: (−1, 4) maps to (1, 4).

Answer: (1, 4)

Question 7 Solution

Step 1: A rotation is only fully described with three details.

Step 2: You need the angle, the direction (clockwise or anticlockwise) and the centre.

Answer: Angle, direction and centre of rotation

Question 8 Solution

Step 1: Multiply each coordinate by the scale factor from the origin.

Step 2: (3 × 2, 1 × 2) = (6, 2).

Answer: (6, 2)

Topic Overview

Revision Notes

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