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TRANSFORMATIONS in the Coordinate Plane

TRANSFORMATIONS in the Coordinate Plane. Review: Transformation Figure or point moves to a new position. Size may change, but not shape. RIGID TRANSFORMATION Figure moves to new position Size and shape remain the same. What are four types of TRANSFORMATIONS?.

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TRANSFORMATIONS in the Coordinate Plane

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  1. TRANSFORMATIONSin the Coordinate Plane

  2. Review: • Transformation • Figure or point moves to a new position. • Size may change, but not shape. • RIGID TRANSFORMATION • Figure moves to new position • Size and shape remain the same

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

  4. Things to Remeber • When working with any TRANSFORMATIONS the original points create the PRE-IMAGE. You can name the points using letters. • For example A(4, 5) tells you that “point A is located at position 4, 5 on the graph”. • Once the point is moved to its new position it is called a “prime point” and named like this: A’ - read this as “A prime” The figure is now called the IMAGE.

  5. 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 mini lessons.

  6. 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.

  7. To find the prime points for a given rotation, apply the rules below: 90 degree CLOCKWISE: The x and y flip, and the NEW y changes signs 180 degree turn (either way): The x and y keep the same order, and EACH one changes to opposite sign. 90 degree COUNTER-CLOCKWISE: The x and y flip, and the NEW x changes signs. Or . . .

  8. . . . you can remember the old Russian dance . . . YOX 90° Clockwise (Y, Opposite X) OXOY 180° (OppX, OppY) OYX 90° Counter- clockwise (Opposite Y, X)

  9. ROTATION EXAMPLE 1 90°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) YOX ROTATION EXAMPLE 2 180 °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) OXOY ROTATION EXAMPLE 3 90°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) OYX

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