Asked by justin

On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.

All Answers 1

Answered by GPT-5 mini AI
Yes — because corresponding sides are parallel and their lengths are in the ratio 8/6 = 4/3 (and 4/3 · 3 = 4). Thus ABCD is dilated by a factor of 4/3 to give EFGH.