XY and BD are parallel lines.
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Answer:
Step-by-step explanation:
Circle A has center (-2, 3)
Circle B has center (2, -2)
Circle A can be mapped to Circle A' by a translation:
Center Rule of translation New center
(x, y) (x+4, y-5)
A(-2, 3) A'(-2+4, 3-5) A'(2, -2)
Circle A with radius r 1=2
Circle B with radius r 2=3
Scale factor= r 2/r 1 = 3/2 = 1.5
Since any two circles can be translated to have the same center, the dilation r2/r1 proves the circles are similar where r1 and r2 are the radii of the circles.
The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.
Therefore: Translation right 4, down 5, and then a dilation of 1.5 is true.
Translation down 5, right 4, and then a dilation of 1.5 is true.
