Grade 12 Rotations Worksheet

This worksheet covers rotations of geometric figures in the coordinate plane, including identifying rotation rules and applying them to points and shapes.

Grade 12 Math GeometryTransformationsRotations

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

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

Topics

MathGeometryTransformationsRotationsGrade 12

7 sections · Free to use · Printable

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Grade 12 Rotations Worksheet

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

1. What is the image of the point (3, -2) after a 90° clockwise rotation about the origin?

(-2, -3)

(2, 3)

(-3, 2)

(3, 2)

2. A point P is rotated 180° counter-clockwise about the origin. If its image is P'(-5, 1), what were the coordinates of P?

(5, -1)

(-5, -1)

(5, 1)

(1, -5)

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

2. Rotating a figure 270° counter-clockwise about the origin is equivalent to a rotation of 90° about the origin.

1. Triangle ABC has vertices A(1, 2), B(4, 2), and C(3, 5). Rotate triangle ABC 90° counter-clockwise about the origin. List the coordinates of the image A'B'C'.

2. Describe the rotation that maps point (6, -2) to (-6, 2).

3. Plot the point P(4, 1) on the coordinate plane below. Then, rotate P 90° clockwise about the origin and label its image P'.

1. A rotation changes the size of a figure.

True

False

2. Rotating a figure 360° about its center of rotation returns the figure to its original position.

True

False