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

Claim: The measures of and are equal

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

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.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.