Grade 6 Rotations Worksheet

Explore geometric rotations on a coordinate plane with this Grade 6 math worksheet, covering 90-degree clockwise and counter-clockwise turns around the origin.

Grade 6 Math GeometryTransformationsRotations

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.8.G.A.1CCSS.MATH.CONTENT.8.G.A.3

Topics

mathgeometrytransformationsrotationsgrade 6

7 sections · Free to use · Printable

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Geometric Rotations

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Read each question carefully and follow the instructions to rotate the given figures on the coordinate plane. Show your work where requested.

1. What is a rotation in geometry? Explain in your own words.

2. A rotation of 90 degrees clockwise around the origin (0,0) changes the point (x, y) to:

(-x, -y)

(y, -x)

(-y, x)

(x, -y)

3. A 180-degree rotation around the origin changes the point (x, y) to .

4. A 90-degree counter-clockwise rotation around the origin changes the point (x, y) to .

5. Plot the triangle with vertices A(1, 2), B(4, 2), and C(1, 5) on the coordinate plane below. Then, rotate the triangle 90 degrees clockwise around the origin and label the new vertices A', B', and C'.

6. A square has vertices at P(2, 1), Q(5, 1), R(5, 4), and S(2, 4). If the square is rotated 270 degrees counter-clockwise around the origin, what are the new coordinates of its vertices? Show your work.