A circle with an area of \(8\pi\) square centimeters is dilated so that its image has an area of \(32\pi\) square centimeters. What is the scale factor of the dilation?
A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area?
- 6400 square units
- 900 square units
- 100 square units
- 25 square units
- 4 square units
A triangle has an area of 6 square inches and a perimeter of 12 inches. Suppose it is dilated by some scale factor, and the area and perimeter of the image are calculated. Match each graph with the relationship it represents.
A polygon with area 10 square units is dilated by a scale factor of \(k\). Find the area of the image for each value of \(k\).
Parallelogram \(AB’C’D'\) was obtained by dilating parallelogram \(ABCD\) using \(A\) as the center of dilation.
- What was the scale factor of the dilation?
- How many congruent copies of \(ABCD\) have we fit inside \(AB’C’D'\)?
- How does the area of parallelogram \(AB'C'D'\) compare to parallelogram \(ABCD\)?
- If parallelogram \(ABCD\) has area 12 square units, what is the area of parallelogram \(AB'C'D'\)?
Select all solids whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.
Select all expressions which give the measure of angle \(A\).