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Transformation

these are called ISOMETRIES. Transformation. points, segments or shapes, which are moved from one location to another by: Reflection Translation Rotation Dilation. they remain the same size and shape. Changes SIZE not shape. What is a reflection?. plot point A (4,2).

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Transformation

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  1. these are called ISOMETRIES Transformation • points, segments or shapes, which are moved from one location to another by: • Reflection • Translation • Rotation • Dilation they remain the same size and shape Changes SIZE not shape

  2. What is a reflection?

  3. plot point A (4,2) Most common reflections y about the x - axis point B ________ (4 , -2) D y changes to its opposite C A about the y-axis x point C _____ (-4 , 2) y = x B x changes to its opposite about y = x point D ______ ( 2 , 4 ) x and y exchange

  4. B C D Reflect BCD about the y-axis B=(5,1) C=(-1,-3) D=(3, -6) • Identify the pre-image endpoints What are the endpoints of the image? B’=(-5,1) C’=(1,-3) D’=(-3,-6)

  5. FGHI is mapped onto_______ • Describe the transformation • Which is pre-image? Reflection over the line y = -2 I F G H Green FGHI S R Q T

  6. Translation – Glide motion • A transformation that glides all points the same distance in the same direction. The skaters are moving in identical ways when they are skating together

  7. A translation describes the movement of a point, segment, or shape Graph pre image PQR P (-3,-1) Q(-5,-6) R(-1,-4) Move each X: 5 to the right Y: 2 up P’ Graph image P’Q’R’ P P’(2,1) Q’(0,-4) R’(4,-2) R’ R Q’ Q

  8. Image and Preimage • Plot A(-1,3) A A’ (3,-4) A’ is the image of A A is the pre image of A’ A’

  9. P’ (7, 5 ) • The image of P(4,6) is ____________ The pre image of Q(2,3) is ________ (-1, 4) P Q’ P’ Q

  10. Rotation about a point

  11. Rotation Rotated 180 degrees counterclockwise about the origin

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