Question

Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,
D
What is the scale factor of the dilation?​

Answer 1

Answer:

scale factor = $\frac{1}{3}$

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = $\frac{A'B'}{AB}$ = $\frac{2}{6}$ = $\frac{1}{3}$

Answer 2

The Scale factor of the dilation = B'C'/BC = 1/3

What is the Scale Factor of a Dilation?

The scale factor after a dilation can be found using the formula, scale factor = dimension of new figure (image)/corresponding dimension of original figure (preimage)

Given the following:

• Dimension of the pentagon A'B'C'D' (image) = B'C' = 1 unit
• Dimension of the pentagon ABCD (pre-image) = BC = 3 units.

Scale factor of the dilation = B'C'/BC = 1/3

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