Question

Parallelogram WXYZ is made up of two pairs of parallel line segments, or sides. Side WX is parallel to side YZ, and side XY is parallel to side WZ. Suppose the parallelogram were translated 11 units to the left in a coordinate plane. Which of these statements would be correct about the resulting parallelogram? Select two that apply. A. Side WX would be parallel to side XY. B. Side YZ would be parallel to side WZ. C. Side XY would be parallel to side WZ. D. Side WX would be parallel to side YZ. E. Side XY would be parallel to side YZ. F. Side WZ would be parallel to side WX.

Answer 1

The correct options are;

C. Side XY would be parallel to side WZ

D. Side WX would would be parallel to YZ

Explanation:

Translation of a figure within the coordinate plane is a form of rigid transformation such that the shape and size of the pre image is maintained in the resulting image. Also, the orientation of the figure of the pre image and the figure of the resulting image will the same

Therefore, given that the pre image which is the parallelogram undergoes a translation to the left, the initial relationships between the sides of the parallelogram in the pre image will be maintained in the resulting image and side XY would be parallel to side WZ ans side WX would be parallel to side YZ.