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.

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Presentation transcript:

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.

 TRANSLATION……(Slide)  ROTATION…….…..(Turn)  REFLECTION……..(Flip)  DILATION…(Enlarges or Reduces)

Today we will work with ROTATIONS Stop and do Rotation Activity Once ACTIVITY is complete, we will come back to the powerpoint and add to our notes.

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.

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.

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)

 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 4 th quadrant. If the pre-image is located in the 3 rd, how was it rotated?  A point, (-2, 7) is rotated 180 degrees. What are its new coordinates?