Grade 11 Math: Rotations Worksheet
This worksheet focuses on understanding and applying geometric rotations in a coordinate plane for Grade 11 students.
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Grade 11 Math: Rotations
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Date:
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Read each question carefully and follow the instructions to determine the correct rotation or properties of rotated figures. Show all your work where applicable.
1. What is the image of the point (3, -2) after a 90° counterclockwise rotation about the origin?
(-3, -2)
(2, 3)
(3, 2)
(-2, -3)
2. A figure is rotated 180° about the origin. If the original coordinates are (x, y), what are the new coordinates?
(y, x)
(-x, -y)
(-y, x)
(x, -y)
3. A rotation is a transformation that turns a figure about a fixed point called the .
4. The direction of a positive rotation is typically .
5. A 270° clockwise rotation is equivalent to a counterclockwise rotation.
6. Describe the rotation that maps triangle ABC to triangle A'B'C' if A=(1,1), B=(4,1), C=(1,3) and A'=(-1,-1), B'=(-4,-1), C'=(-1,-3).
7. A quadrilateral PQRS has vertices P(2,0), Q(4,0), R(4,2), S(2,2). Graph the quadrilateral and its image after a 90° clockwise rotation about the origin. Label the vertices of the image.
8. A rotation preserves the size and shape of a figure.
True
False
9. Rotating a point (x, y) 90° clockwise about the origin results in the point (-y, x).
True
False
10. A triangle has vertices at D(0,0), E(3,0), and F(0,4). If the triangle is rotated 180° about the point (1,1), what are the coordinates of the vertices of the image D'E'F'?