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Composition of Transformations Review

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  • Where would this point be located after a reflection over the x-axis AND a dilation with a scale factor of 2?
    (6, -8)
  • A scale factor > 1 results in what type of dilation?
    An enlargement
  • Which two transformations occurred here? Be specific!
    Reflection over x-axis, dilation with a scale factor of 2
  • What type of transformation occurred between these two figures? (Be specific!)
    A reflection over the y-axis
  • Which two transformations occurred here? Be specific!
    Rotation 180 degrees, dilation with a scale factor of 2
  • What is the scale factor from point A to point A'?
    Scale factor of 2
  • The point P(3, 1) is rotated 180 degrees AND translated 2 units down. Where is P' located?
    (-3, -3)
  • Which two transformations occurred here? Be specific!
    Dilation with a scale factor of 1/2, rotation 90 degrees counterclockwise
  • The point pictured is rotated 180 degrees AND translated 2 units right and 1 unit up. Where is the new point located?
    (6, 3)
  • The point P(1, 1) is reflected over the y-axis AND dilated using a scale factor of 4. Where is P' located?
    (-4, 4)
  • What would be the coordinates of this figure after a translation 3 units right and 1 unit down?
    (3, 1), (3, 4), (7, 4), (7, 1)
  • A scale factor < 1 results in what type of dilation?
    A reduction
  • What type of transformation occurred between these two figures? (Be specific!)
    A rotation 180 degrees
  • The point P(0, 3) is rotated 270 degrees counterclockwise AND translated 3 units left. Where is P' located?
    (0, 0)
  • The point P(1, 2) is reflected over the x-axis AND translated 3 units right. Where is P' located?
    (4, -2)
  • A rotation 270 degrees counterclockwise is how many degrees clockwise?
    90 degrees
  • Where would this point be located after a rotation 180 degrees AND a translation 1 unit left?
    (-2, -3)
  • What is the transformation rule from T to T'? Be specific!
    (x, y) -> (x + 3, y + 2)
  • Which two transformations occurred here? Be specific!
    Reflection over y-axis, translation 2 units right and 1 unit down
  • A reflection over both the x- and y-axis is equivalent to what single transformation?
    A 180 degree rotation
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