Transformations — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Point A is at (3, 5). Find the coordinates of A after a reflection in the x-axis.

Question 2

[2](a)Point B is at (2, 4). Find its image after a translation by the vector (3, −1).

Question 3

[2](a)Point C is at (1, 2). Find its image after an enlargement, scale factor 3, centre the origin.

Question 4

[2](a)Point A(4, −2) is reflected in the y-axis. Find its image.

Question 5

[2](a)Point B(3, −5) is rotated 180° about the origin. Find its image.

Question 6

[2](a)Point C(−1, 3) is translated by the vector (4, 2). Find its image.

Question 7

[3](a)Point D(2, −1) is enlarged by scale factor 2, centre (1, 1). Find its image.

Question 8

[1](a)Point A(0, 5) is reflected in the x-axis. Find its image.

Question 9

[2](a)Point B(3, 2) is rotated 90° anticlockwise about the origin, using (x,y)→(−y,x). Find its image.

Question 10

[2](a)Describe fully the single transformation that maps the point (2,3) to (2,−3).

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