1. Warm Up
1. A point P has coordinates (1, 4). What are its new coordinates after reflecting point P across the x-axis? [A] (-1, 4) [B] (1, 4) [C] (1, -4) [D] (-1, -4) 2. Identify the coordinates of the image point formed by reflecting (3, -6) across the y-axis. [A] (3, 6) [B] (-3, -6) [C] (3, -6) [D] (-3, 6) 3. Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of the first star are at (4, 1). The star is translated left 5 units. What are its new coordinates? [A] (-1, 1) [B] (4, 6) [C] (9, 1) [D] (4, -4) 6. Write the translation of point P(2, -9) to point P’(-1,-11). [A] (x,y) to (x -3, y-2) [B] (x, y) to (x + 3, y +2) [C] (x, y) to (x + 2, y +3) [D] (x, y) to (x – 2, y – 3)

2. The figure turns around a fixed point.
Rotations
The figure turns around a fixed point.

3. Rotation" means turning around a center:
The distance from the center to any point on the shape stays the same.
Every point makes a circle around the center.

5. Rule (x,y) flips to (y,x) Rotate 90°
*See what quadrant you end up in for the signs.
EX: (1,2) rotated clock wise ends up in quadrant IV (1,-2)

6. (x,y) does not flip but signs change (-x,-y)
Rotate 180°
Rule
(x,y) does not flip but signs change (-x,-y)
EX:
(-5,-1) becomes (5,1)

7. Rule (x,y) flips to (y,x). Rotate 270°
*See what quadrant you end up in for the signs.
EX:
(5,6) rotated in a clockwise direction ends up in quadrent II so, (-6,5)

8. a) Rotate Triangle ABC 90 counterclockwise
a) Rotate Triangle ABC 90 counterclockwise. b) Rotate Triangle ABC 180 counterclockwise. C) Rotate Triangle ABC 270 counterclockwise.

12. What would happen to the figure if you rotated it 360°?
Video