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EXAMPLE 2 Rotating 90 Clockwise Rotate quadrilateral FGHJ 90 clockwise. SOLUTION OriginalImage (x, y) F (2, 2) G (2, 4) H (4, 4) J (5, 2) (x, –y) F ’(2, –2) G ’(4, –2) H ’(4, –4) J ’ (2, –5)

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EXAMPLE 3 Rotating 180 SOLUTION Rotate ABC 180. OriginalImage (x, y) A (–6, 0) B (–5, 2) C (–1, 3) (–x, –y) A ’(6, 0) B ’(5, –2) C ’(1, –3) The graph shows ABC and A’B’C’.

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GUIDED PRACTICE for Example 2 and 3 Graph A (1, 1), B (3, 1), C (3, 3), and D (1, 4). Find its image after the given rotation. 2. 90 clockwise ANSWER

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GUIDED PRACTICE for Example 2 and 3 Graph A (1, 1), B (3, 1), C (3, 3), and D (1, 4). Find its image after the given rotation. 3. 90 counterclockwise ANSWER

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GUIDED PRACTICE for Example 2 and 3 Graph A (1, 1), B (3, 1), C (3, 3), and D (1, 4). Find its image after the given rotation. 4. 180 ANSWER

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9-3 Rotations You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane.

9-3 Rotations You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane.

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