1. Rotations
Teacher Twins©2014

2. Warm Up
Reflect Triangle ABC across the x and y axis.
A (4, 3), B (-2, 6), C (0, 1).

3. Warm Up Answers
across the x axis

4. Warm Up Answers
across the y axis

5. Rotations

6. Rotations
A rotation is when you turn a figure about a point.

7. Triangle ABC is rotated 90⁰ clockwise about the origin.

8. A (- 6, 4) A’ (4, 6) B (1, 3) B’ (3, - 1) C (- 3, - 2) C’ (- 2, 3)
Notice that the x and y switch places. The y value stays the same and the x value becomes the opposite.
90⁰ Clockwise Rotation About the Origin
(x, y) (y, -x)

9. Triangle ABC is rotated 180⁰ about the origin.

10. (x, y) (- x, - y) A (- 6, 4) A’ (6, - 4) B (1, 3) B’ (- 1, - 3)
C (- 3, - 2) C’ (3, 2)
Notice that the x and y values become the opposite.
180⁰ Rotation About the Origin
(x, y) (- x, - y)

11. Triangle ABC is rotated 90⁰ counter clockwise about the origin.
Triangle ABC is rotated 180⁰ about the origin.
Triangle ABC is rotated 90⁰ counter clockwise about the origin.

12. A (- 6, 4) A’ (- 4, -6) B (1, 3) B’ (-3, 1) C (- 3, - 2) C’ (2, -3)
Notice that the x and y switch places. The x value stays the same and the y value becomes the opposite.
90 ⁰ Counter Clockwise Rotation About the Origin(270⁰ clockwise)
(x, y) ( - y, x)

13. Practice
A (2,4), B (-5, 8), C (-3, 7)
Rotate triangle ABC around the origin.
90⁰ clockwise
180⁰
90⁰ counter clockwise

14. Closure
Use the rule to write the ordered pairs for rotating triangle ABC 90⁰ clockwise.
A (4, 3) B(- 3, 5) C (6,- 4)