Question

practice 4 (from unit 5, lesson 3)
each image shows a quadrilateral in a plane. the quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1.
estimate the scale factor that was used for each dilation.
dilation a
dilation b
dilation c
type your answers in the boxes.
dilation a:
dilation b:
dilation c:

Explanation:

Step1: Analyze Dilation A

In Dilation A, the green (dilated) quadrilateral is slightly smaller than the original blue one. Visually, it looks like about 0.8 - 0.9 of the original size. Estimating, it's around 0.9.

Step2: Analyze Dilation B

In Dilation B, the green quadrilateral is much smaller. Comparing the side lengths (visually), it seems to be about 0.2 - 0.3 of the original. Estimating, around 0.25.

Step3: Analyze Dilation C

In Dilation C, the green quadrilateral is smaller than the original but larger than Dilation B's. Visually, it's about 0.5 of the original size.

Answer:

Dilation A: $\boldsymbol{0.9}$ (or similar close estimate like 0.8 - 0.9)
Dilation B: $\boldsymbol{0.25}$ (or similar close estimate like 0.2 - 0.3)
Dilation C: $\boldsymbol{0.5}$ (or similar close estimate like 0.4 - 0.6)

(Note: These are visual estimates based on the relative sizes of the original and dilated quadrilaterals. Exact values may vary slightly based on precise visual comparison.)