1. Find the coordinates of A(3, 2) reflected across the x-axis.
Warm-up
Find the coordinates of A(3, 2) reflected across the x-axis.
Find the coordinates of B (-2, 4) reflected across the y-axis.
Find the measure of a counterclockwise rotation that would equal each rotation. Think!
180 clockwise rotation
90 clockwise rotation

2. Center of Rotation Angle of Rotation Rotational Symmetry
Rotations
Center of Rotation
Angle of Rotation
Rotational Symmetry

3. ROTATIONAL SYMMETRY – Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.

4. Ambigrams

5. Rotational Symmetry in the parking lot

7. Which figures have rotational symmetry
Which figures have rotational symmetry? For those that do, describe the rotation that map the figure onto itself.
Regular pentagon
Rhombus
Isosceles triangle NO NO

8. Rotation is simply turning about a fixed point.
Rotate
90 counterclockwise
about the origin
Rotate
180
about the origin
Rotate 90clockwise about the origin

9. CLOCKWISE
is like a right turn.

10. Both hands in the air on the wheel.
Left hand is x
Right hand is y

11. Which hand is at 12 o’clock first?
Make a clockwise turn.
Which hand is at 12 o’clock first? X

12. Rotate 90 degrees clockwise about the origin.
Change the sign of x
&
switch the order of x and y.
Same as 270 counterclockwise

13. Example: Rotate 90 degrees clockwise about the origin.

14. Rotate 90° clockwise about the origin

15. COUNTERCLOCKWISE
is like a left turn.

16. Both hands in the air on the wheel.
Left hand is x
Right hand is y

17. Make a counterclockwise turn.
Which hand is at 12 o’clock first? Y

18. Rotate 90 degrees counterclockwise about the origin.
Change the sign of y
&
Switch the order of x and y
Same as 270 clockwise

19. Example: Rotate 90 degrees counterclockwise
about the origin.

20. Rotate 90° counterclockwise about the origin

21. Rotating 180 degrees changes the sign of the x and the sign of the y.

22. change the sign of both x & y.
Rotate 180 degrees
about the origin.
Keep the order
&
change the sign of both x & y.

23. Example: Rotate 180 degrees about the origin.

24. Rotate 180° about the origin

25. Find the angle of rotation that maps ABC onto A’’B’’C’’.
C’ B’ A
B C
B’’ A’’
C’’ k m