Question

is quadrilateral jklm the result of a dilation of quadrilateral abcd by a scale factor of 2? why or why not? yes, because sides jk and ml are twice as long as sides ab and dc. yes, because both figures are parallelograms, so corresponding sides are parallel. no, because sides jk and ml are not twice as long as sides ab and dc. no, because sides jm and kl have different slopes from sides ad and bc.

Explanation:

Step1: Recall dilation property

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. Corresponding sides of a dilated figure and the original figure are parallel.

Step2: Analyze given quadrilaterals

In the case of dilation of quadrilateral ABCD to get quadrilateral JKLM, corresponding sides should be parallel. Sides JK and ML should be parallel to the corresponding sides in ABCD. Since both figures are parallelograms, corresponding sides are parallel.

Answer:

Yes, because both figures are parallelograms, so corresponding sides are parallel.