The document discusses translations and rotations of geometric figures on the coordinate plane. A translation slides a figure the same distance in the same direction, either horizontally or vertically. A rotation turns a figure around a fixed point by degrees, either clockwise or counterclockwise. Examples are given of translating and rotating figures by various amounts on the coordinate plane.

1. Transformations on the Coordinate Plane: Translations and Rotations

2. TranSLation of a geometric figure is a SLide of the figure in which all points move the same distance in the same direction.

3. Horizontal- left and right

4. Vertical- up and down

5. Translate the figure horizontally – 5 A B C B A C -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

6. Translate the figure 4 units vertically. A B C D B A C D -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

7. Translate the figure 6 units vertically. B C A B C A -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

8. Translate the figure 4 units horizontally. A B D C A B D C -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

9. A ROTATION of a geometric figure is the turn of the figure around a fixed point.

10. Clockwise

11. Counter-clockwise

12. 90 

13. 180 

14. Rotate the figure clockwise 90  around the origin . A B C B C A -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

15. A B C D D C B A Rotate the figure 90  counter-clockwise around the origin. -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

16. A B C A B C Rotate the figure 180  counter- clockwise around the origin. -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5

17. Rotate the figure 180  clockwise around the origin. A B C D C B D A -5 -4 -3 -2 5 4 3 2 1 -1 -1 -2 -3 -4 -5 1 2 3 4 5