10 questions🇬🇧English
🔄 Transformations – Year 9
Maths · Year 9 (KS3) — reflections, rotations, translations and enlargements, and describing them fully
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Questions
The point (4, 2) is reflected in the x-axis. What are the coordinates of its image?
(4, −2)
(−4, −2)
(−4, 2)
(2, 4)
20s
The point (3, 5) is translated by a column vector with top number 2 and bottom number −1. Where does it end up?
(5, 6)
(5, 4)
(1, 4)
(1, 6)
20s
To describe a rotation fully, which three pieces of information must you give?
Mirror line, angle and centre
Centre, scale factor and direction
Angle, direction and column vector
Centre, angle and direction
20s
The point (3, 1) is reflected in the line y = x. What are the coordinates of its image?
(3, −1)
(−1, −3)
(−3, 1)
(1, 3)
30s
The point (2, 5) is rotated 90° clockwise about the origin. What are the coordinates of its image?
(5, −2)
(−2, −5)
(2, −5)
(−5, 2)
30s
The point (5, 3) is reflected in the line x = 2. What are the coordinates of its image?
(−1, 3)
(−5, 3)
(−3, 3)
(5, 1)
30s
Every point (x, y) of a shape is mapped to (−x, −y). Which single transformation is this?
Reflection in the y-axis
Rotation 180° about the origin
Reflection in the x-axis
Reflection in the line y = x
30s
The point (3, 4) is enlarged by scale factor 2 with centre (1, 1). What are the coordinates of its image?
(7, 9)
(5, 7)
(4, 6)
(6, 8)
60s
A shape is rotated 90° clockwise about the origin. Which single transformation maps the image back to the original shape?
Reflection in the line y = x
Rotation 90° clockwise about the origin
Rotation 180° about the origin
Rotation 90° anticlockwise about the origin
30s
An enlargement with scale factor 2 maps the point (1, 1) to (3, 3). Where is the centre of enlargement?
(−1, −1)
(1, 1)
(0, 0)
(2, 2)
60s