Question

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

Yes, because AB and CD are each the lengths MN and QP.

Yes, because sides AB and CD are parallel to sides MN and QP.

No, because AB is the length MN but CD is the length QP.

No, because sides AB and CD have different slopes from sides MN and QP.

Answer 1

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

Explanation:

Answer 2

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

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.