Reflect point J(4, -3) in the y-axis. Write down the coordinates of the image.
(1)
2
Reflect the triangle with vertices A(2, 1), B(5, 1) and C(2, 4) in the x-axis. Give the coordinates of A', B' and C'.
(2)
3
Point D is at (-5, 2). Reflect D in the line x = 0 then in the line y = 0. Write the final coordinates.
(1)
4
Rotate point E(3, 0) 90 degrees anticlockwise about the origin. State the coordinates of the image.
(2)
5
Rotate point F(0, -4) 180 degrees about the origin. Give the coordinates of the image.
(2)
6
A square has vertices at (2, 2), (5, 2), (5, 5) and (2, 5). Rotate the whole square 90 degrees clockwise about the origin. Give the new coordinates in any order.
(2)
7
Describe fully the single transformation that maps triangle T with vertices (1, 2), (3, 2), (1, 5) onto triangle T' with vertices (-2, 1), (-2, 3), (-5, 1).
(2)
8
A shape is reflected in the line y = x. Point G at (3, 6) is one vertex. Find the coordinates of G' after reflection in y = x.
(2)
9
Triangle with vertices A(3, 0), B(6, 0), C(3, 5) is rotated 270 degrees anticlockwise about the origin. Give the coordinates of A', B' and C'.
(3)
10
Reflect the point H(-4, -3) in the line x = -1. Give the coordinates of the image H'.
(2)
11
Reflect the point (0, 5) in the x-axis. Write down the coordinates of the image.
(1)
12
A shape is rotated 360 degrees about any point. Describe the position of the image compared with the original shape.
(1)
13
A rectangle has corners at (1, -2), (5, -2), (5, 0) and (1, 0). First rotate the rectangle 90 degrees anticlockwise about the origin, then reflect the result in the x-axis. Give the final coordinates of the four vertices.
(3)
14
Shape M has vertices (1, 1), (3, 1) and (1, 4). Shape N has vertices (-1, -1), (-3, -1) and (-1, -4). Describe fully the single transformation that maps shape M onto shape N.
(3)
15
A logo designer reflects point L(6, -2) in the horizontal line y = -1. Find the coordinates of the image L'.
(3)
16
Point M(2, -5) is rotated 90 degrees clockwise about the point (2, -1). Find the coordinates of the image M'.
(3)
17
A rectangle has corners at (0, -1), (4, -1), (4, 1) and (0, 1). First reflect the rectangle in the y-axis, then rotate the result 90 degrees anticlockwise about the origin. Give the final coordinates of the four vertices.
(3)
18
Stretch question. The right-angled triangle with vertices X(2, 1), Y(6, 1) and Z(2, 4) is first rotated 90 degrees anticlockwise about the point X(2, 1), then reflected in the line y = 0. Give the coordinates of X', Y' and Z' after both transformations.
(4)
Mark scheme · KS3.M-G16D Transformations: Reflection and Rotation: Fluency and Exam Drill
Question 1
B1 (-4, -3) cao
Answer: (-4, -3)
Question 2
M1 correct method: reflect y-values by negating them or show one reflected vertex, oe