Grade 9 Math: Rotations

This worksheet focuses on understanding and applying rotations in a coordinate plane, including identifying rotation rules and performing transformations.

Grade 9 Math GeometryTransformationsRotations

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.A.2CCSS.MATH.CONTENT.HSG.CO.A.4CCSS.MATH.CONTENT.HSG.CO.A.5

Topics

mathgeometrytransformationsrotationsgrade 9

7 sections · Free to use · Printable

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Grade 9 Math: Rotations

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following describes a 90-degree clockwise rotation about the origin?

(x, y) → (-x, y)

(x, y) → (y, -x)

(x, y) → (-y, x)

(x, y) → (-x, -y)

2. A point P(3, -2) is rotated 180 degrees about the origin. What are the coordinates of P'?

(-3, 2)

(3, 2)

(-2, -3)

(2, 3)

3. A rotation is a transformation that turns a figure about a fixed point called the .

4. A 270-degree counter-clockwise rotation about the origin is equivalent to a rotation clockwise about the origin.

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

Write the coordinates of the rotated vertices:

A' =

B' =

C' =

6. A rotation changes the size of a figure.

True

False

7. Rotating a figure 360 degrees about its center returns the figure to its original position.

True

False

8. A square has vertices at (0, 0), (3, 0), (3, 3), and (0, 3). If the square is rotated 90 degrees clockwise about the point (0, 0), what are the new coordinates of its vertices?

9. Describe the rotation that maps triangle DEF to triangle D'E'F' where D(2, 1), E(5, 1), F(2, 3) and D'(-1, 2), E'(-1, 5), F'(-3, 2).