Grade 10 Math: Rotations Worksheet
This worksheet focuses on understanding and performing geometric rotations on the coordinate plane for Grade 10 students.
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Grade 10 Math: Rotations Worksheet
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. What are the coordinates of point A(3, -2) after a 90° counterclockwise rotation about the origin?
A'(-3, -2)
A'(2, 3)
A'(-2, -3)
A'(-2, 3)
2. A shape is rotated 180° about the origin. If the original coordinates were (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. A positive angle of rotation indicates a rotation.
5. Describe the rotation that maps triangle ABC to triangle A'B'C' on the coordinate plane.
Given points: A(1,1), B(3,1), C(2,3) and A'(-1,1), B'(-3,1), C'(-2,3).
6. A point P(-4, 5) is rotated 270° clockwise about the origin. What are the coordinates of P'?
7. A rotation preserves the size and shape of the figure.
True
False
8. A 360° rotation about the origin maps a figure onto itself.
True
False
9. Graph the triangle with vertices D(1, 2), E(4, 2), and F(2, 5). Then, rotate the triangle 90° clockwise about the origin and graph the image D'E'F'.
Write the coordinates of the rotated triangle:
D' =
E' =
F' =