Perimeter and Area Changes Under Dilation Exercise

Perimeter and Area Changes Under Dilation

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Perimeter and Area Changes Under Dilation

Discover how scaling a figure affects its perimeter and area on the coordinate plane. Calculate changes in perimeter and area using given scale factors.

Questions

  1. MultiChoice

    If a polygon is dilated by scale factor k, how does its perimeter change?

  2. MultiChoice

    If a polygon is dilated by scale factor k, how does its area change?

  3. MultiChoice

    A square has perimeter 12 units. What is the perimeter of its image after dilation with k = 3?

  4. MultiChoice

    A rectangle has area 10 sq units. What is the area of the dilated image with scale factor k = 3?

  5. MultiChoice

    A triangle with area 16 sq units is dilated by scale factor k = 0.5. What is the new area?

  6. MultiChoice

    If all dimensions of a shape are quadrupled (k = 4), how many times larger is the new area?

  7. MultiChoice

    If the area of a shape increases by a factor of 25 after dilation, what was the scale factor k?

  8. MultiChoice

    A triangle has perimeter 40 units. If reduced by scale factor k = 1/4, what is the new perimeter?

  9. MultiChoice

    What is the ratio of areas of pre-image to image for a dilation with scale factor k = 2?

  10. MultiChoice

    A right triangle has legs of length 3 and 4 (area = 6). Dilated with k = 3, what is the new area?

  11. MultiChoice

    What is the relationship between changes in perimeter and area when scale factor k = 2?

  12. MultiChoice

    If a shape is dilated with k = 1/3, what fraction of the original area is the new area?