Question

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.

Answer 1

Answer:

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.

Step-by-step explanation:

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

Answer 2

C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.