Comprehensive Review of Dilation and Similarity Exercise

Comprehensive Review of Dilation and Similarity

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Comprehensive Review of Dilation and Similarity

Review key concepts of dilations, scale factors, centers of dilation, and similarity. Test your understanding through a comprehensive set of summary problems.

Questions

  1. MultiChoice

    Dilate point (4, -6) centered at origin with scale factor k = 3.

  2. MultiChoice

    If segment AB = 8 and dilated image A'B' = 10, what is the scale factor k?

  3. MultiChoice

    A figure with area 10 sq units is dilated by scale factor k = 5. What is the image area?

  4. MultiChoice

    Dilate P(5, 7) by k = 2 centered at C(2, 2). Find P'.

  5. MultiChoice

    Line L: y = 4x + 2 is dilated centered at origin with k = 3. Describe the image line L'.

  6. MultiChoice

    Image point M' is (15, 21) after dilation centered at origin with k = 3. What was M?

  7. MultiChoice

    A scale factor of k = 0.85 represents what type of transformation?

  8. MultiChoice

    Point N(-6, 2) dilated by k = 2 about origin gives (-12, 4). Reflected over y-axis gives N'' at:

  9. MultiChoice

    Which measurement remains invariant when a geometric shape is dilated?

  10. MultiChoice

    Triangle with perimeter 18 units is dilated with k = 4/3. What is the new perimeter?

  11. MultiChoice

    Point A(2, 4) maps to A'(8, 16) and B(3, 1) maps to B'(12, 4) with k = 4. Find center of dilation.

  12. MultiChoice

    If all linear dimensions of a 2D shape are multiplied by 4, its area is multiplied by: