1. Rotations around a Point
6.06

2. Point of Rotation
Remember that the point of rotation is the center point of the “merry-go-round” that all of the vertices turn around
It does not always have to be the origin!
But, you can still use the same pattern following you did yesterday to complete these transformations

3. Rotations Around a Point
Steps:
1) Determine the measure and direction
Draw the guide arrow
2) Color in the point of rotation
3) Write the slope directions to get from the point of
rotation to each vertex
4) Turn your paper
5) Use the slope directions to plot the points for the image
and connect them

4. Example Rotate the preimage 90ᵒ clockwise around Point A. Preimage
A = none
B = ↑3 ←2
C = ↑2 ←5 C'
Rotate the preimage 90ᵒ clockwise around Point A. B C A B'
Preimage
Image
A (2, 1)
B (0, 4)
C (-3, 3)
A‘ (2, 1)
B‘ (5, 3)
C‘ (4, 6)

5. Practice on your own
1) Rotate the preimage 90ᵒ clockwise around Point M.
2) Rotate the preimage 90ᵒ counter-clockwise around Point S.
Preimage
Image
F (2, -3)
M (5, -3)
S (2, -1)
Preimage
Image
M (-1, -4)
C (-5, -2)
K (-3, -6)

6. 4) Rotate the preimage 90ᵒ clockwise around the point (2, -1).
3) Rotate the preimage 180ᵒ around Point T.
Preimage
Image
R (-5, -3)
S (-4, 0)
T (-2, 0)
U (0, -3)
Preimage
Image
D (3, -3)
H (5, -2)
S (4, -3)
5) Write your own practice problems and solve them on your paper.
Make sure to use different measures/directions.