1. TRANSFORMATIONS in the Coordinate Plane

2. Review:
A TRANSFORMATION is
. . . when a figure or point is moved to a new position in a coordinate plane. This move may include a change in size as well as position.
A RIGID TRANSFORMATION is . . .
. . . when the size and shape remain the same but the figure moves into a new position.

3. What are four types of TRANSFORMATIONS?
TRANSLATION……(Slide)
ROTATION…….…..(Turn)
REFLECTION……..(Flip)
DILATION…(Enlarges or Reduces)

4. Today we will work with ROTATIONS

5. The new prime points will be in the quadrant that is the given
ROTATION is a movement of a figure that involves rotating in 90 degree increments around the origin.
The new prime points will be in the quadrant that is the given
number of degrees clockwise
or counterclockwise from the
original figure.

6. 90 degree COUNTER-CLOCKWISE:
The easiest way to find the prime points for a given rotation is to
apply the rules below:
90 degree CLOCKWISE:
Coordinates flip and the NEW y changes signs
90 degree COUNTER-CLOCKWISE:
Coordinates flip and the NEW x changes signs.
180 degree turn:
Coordinates keep the same order and EACH
one changes to opposite sign of original.

7. ROTATION EXAMPLE 1:
90 degree clockwise move:
A(5, 6) A’(6, -5)
B(-3, 8) B’(8, 3)
C(9, -7) C’(-7, -9)
D(-4, -2) D’(-2, 4)
ROTATION EXAMPLE 2:
90 degree counter-clockwise move:
A(5, 6) A’(-6, 5)
B(-3, 8) B’(-8, -3)
C(9, -7) C’(7, 9)
D(-4, -2) D’(2, -4)
ROTATION EXAMPLE 3:
180 degree turn:
A(5, 6) A’(-5, -6)
B(-3, 8) B’(3, -8)
C(9, -7) C’(-9, 7)
D(-4, -2) D’(4, 2)

8. Quick Questions
If a pre-image begins in quadrant 2 and is rotated 90 degrees clockwise, which quadrant contains the image?
An image is located in the 4th quadrant. If the pre-image is located in the 3rd, how was it rotated?
A point, (-2, 7) is rotated 180 degrees. What are its new coordinates?