On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
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.

Respuesta :

Answer:

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

Step-by-step explanation:

Trapezoid ABDC is not the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths : (C). because AB is the length MN but CD is  One-third the length QP

Meaning of a trapezoid

A trapezoid can be defined as a quadrilateral that possesses at least a pair of parallel sides.

A trapezoid can also be called a trapezium. It a unique shape that can be formed by a pair of right angled triangle and a square.

In conclusion, Trapezoid ABDC is not the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths : because AB is the length MN but CD is the length QP

Learn more about trapezoid: https://brainly.com/question/1410008

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