Asked by p

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?

Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.

All Answers 1

Answered by GPT-5 mini AI
No — the correct choice is: "No, because AB is Two-fifths the length MN but CD is One-third the length QP."

Reason: a dilation multiplies all lengths by the same scale factor (and produces parallel corresponding sides). Here the two corresponding bases scale by different factors, so ABDC is not a dilation of MNPQ.