Combinations: Dilation and Reflection/Rotation Exercise

Combinations: Dilation and Reflection/Rotation

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Combinations: Dilation and Reflection/Rotation

Explore multi-step transformations that combine dilations with reflections or rotations. Determine final coordinates after applying rigid motions alongside scaling.

Questions

  1. MultiChoice

    Point A(3, 4) is dilated by k = 2 about origin, then reflected over the y-axis. What is A''?

  2. MultiChoice

    Point B(2, 4) is dilated by k = 1 about origin, then rotated 90 degrees clockwise about origin. Find B''.

  3. MultiChoice

    Point C(1, 2) is dilated by k = 3 about origin, then rotated 180 degrees about origin. Find C''.

  4. MultiChoice

    Point D(5, 10) is reflected over the x-axis, then dilated by k = 1 about origin. Find D''.

  5. MultiChoice

    Combining a dilation with reflections and rotations produces figures that are:

  6. MultiChoice

    Point E(-2, -4) is dilated by k = 3, then rotated 90 degrees counter-clockwise about origin. Find E''.

  7. MultiChoice

    Point F(4, 6) is dilated by k = 0.5 about origin, then reflected over the line y = -x. What is F''?

  8. MultiChoice

    Reflect G(3, 4) across line y = x to get (4, 3), then dilate by k = 2 about origin. Find G''.

  9. MultiChoice

    In any similarity transformation involving dilations, rotations, and reflections, angle measures are:

  10. MultiChoice

    Point H(0, 5) dilated by k = 2 about origin gives (0, 10). Rotated 180 degrees about origin, find H''.

  11. MultiChoice

    Rotate J(4, -8) by 180 degrees to get (-4, 8), then dilate by k = 0.25 about origin. Find J''.

  12. MultiChoice

    What occurs when a reflection is included in a similarity sequence with dilation?