Question

B

A
Determine whether each claim about the properties of AABC and AA'B'C' is true or false.
The measures of ZB and ZB' are equal.
True/false
The coordinates of A and A' are the same.
True/false
I

Answer 1

Claim: The measures of
`\angle B` and
`\angle B'` are equal

Answer: True

Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.

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Claim: The coordinates of A and A' are the same

Answer: True

Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.