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# Form 2 Mathematics Topical Questions and Answers on Rotation

Form 2 Mathematics Topical Questions and Answers on Rotation

Lessons (**7**)

- 1.
Describe the rotation which maps the square whose vertices are A (5, 3), B (6.5, 3), C (6.5, 1.5) and D (5, 1.5) onto the square whose vertices are A'(8, -3), B’ (6.5, -3), C'(6.5, -1.5) and D'(8, -1.5). Find the image of the point (2, 0) under the same rotation.

9m 15s - 2.
A point P (-3, 2) maps onto P'(1, -2) under a rotation R centre (1, 2). Find:
(a) the angle of rotation.
(b) R(P').

4m 40s - 3.
The vertices of a trapezium are A(-3, 2), B(-2, 2), C(-1.5, 1.5) and D(-3.5, 1.5). The trapezium is rotated about (0.5, -4) through an angle of -60°. Find the co-ordinates of the vertices of its image.

21m 20s - 4.
Give the co-ordinates of the image of each of the following points when rotated through 180° about (3, 1):
(a) (-2. 0)
(b) (4, 6)
(c) (5, -3)
(d) (-6, -6)

9m 59s - 5.
The transformation R represents a negative quarter turn about the point (-1, 0). The vertices of the image of a triangle ABC under R are A'(3, 1), B'(0, 5) and C'(0, 1). Find the vertices of #triangle# ABC.

12m 2s - 6.
The square whose vertices are O(0, 0), P(3, 0), Q(3, 3) and R(0, 3) is rotated through +90° to give an image whose vertices are O'(3, -1), P'(3, 2), Q'(0, 2) and R'(O, -1).
(a) Find the centre of rotation.
(b) If the square O'P'Q'R' is reflected in the line x = 0, find the co-ordinates of O"P"Q" and R".

14m 53s - 7.
Describe the rotation which maps the right-angled triangle with vertices at L(- 4, -5), M(-2, -5) and N(- 4, -3) onto the triangle with vertices at L'(- 6, -3), M'(- 6, -5) and N'(- 4, -3).

9m 29s