Similarity and Dilations on Coordinate Plane Exercise

Similarity and Dilations on Coordinate Plane

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Similarity and Dilations on Coordinate Plane

Examine how dilations produce similar figures on the coordinate plane. Identify proportional side lengths and corresponding angle relationships.

Questions

  1. MultiChoice

    When a figure is dilated on the coordinate plane, which property remains true for the new figure?

  2. MultiChoice

    What defines two similar figures resulting from a dilation?

  3. MultiChoice

    Triangle ABC has an angle of 50 degrees. If dilated with k = 2, what is the measure of the corresponding angle in A'B'C'?

  4. MultiChoice

    Triangle 1 has vertices (0,0), (2,0), (0,4). Triangle 2 has vertices (0,0), (6,0), (0,12). How are they related?

  5. MultiChoice

    What scale factor maps Triangle ABC with side lengths 3, 4, 5 to similar Triangle A'B'C' with side lengths 9, 12, 15?

  6. MultiChoice

    The ratio of corresponding side lengths in similar dilated figures is equal to:

  7. MultiChoice

    Are Rectangle R with vertices (0,0),(2,0),(2,3),(0,3) and Rectangle R' with (0,0),(4,0),(4,6),(0,6) similar?

  8. MultiChoice

    Which of the following properties is preserved under ANY dilation?

  9. MultiChoice

    When is a dilated image congruent to its pre-image?

  10. MultiChoice

    Triangle ABC has side AB = 6 units. It is dilated by scale factor k = 2.5. What is the length of A'B'?

  11. MultiChoice

    Which transformation produces similar figures that are NOT necessarily congruent?

  12. MultiChoice

    Triangle DEF is similar to D'E'F'. Side DE = 12 and D'E' = 16. If EF = 6, what is E'F'?