College

We appreciate your visit to A student draws parallelogram WXYZ on the coordinate plane Then the student translates the parallelogram 3 units up and 4 units to the right to. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A student draws parallelogram WXYZ on the coordinate plane. Then the student translates the parallelogram 3 units up and 4 units to the right to form parallelogram PQRS.

Which statement must be true about parallelogram PQRS?

A. \( \overline{PQ} \) must be perpendicular to \( \overline{QR} \).
B. \( \overline{PQ} \) must be perpendicular to \( \overline{SR} \).
C. \( \overline{PQ} \) must be parallel to \( \overline{QR} \).
D. \( \overline{PQ} \) must be parallel to \( \overline{SR} \).

Answer :

Final answer:

When a parallelogram is translated, its properties remain the same. Therefore, the opposite sides PQ and SR of parallelogram PQRS will be parallel, given that PQRS is a translated version of the original parallelogram WXYZ.

Explanation:

The student's question pertains to the properties of a parallelogram, specifically, to the effects of a translation on a parallelogram. In a parallelogram, opposite sides are parallel to each other. Thus, when translating a parallelogram, these properties remain unchanged since a translation does not alter the angles or the lengths of sides of a figure. It merely shifts its position in the plane. Returning to the specific question of which of the following statements is necessarily true about parallelogram PQRS, it is evident that the sides PQ and SR, being opposite sides of a parallelogram, must indeed run parallel to each other. Thus, the statement 'PQ must be parallel to SR' is necessarily true.

Learn more about Parallelogram Properties here:

https://brainly.com/question/30919781

#SPJ1

Thanks for taking the time to read A student draws parallelogram WXYZ on the coordinate plane Then the student translates the parallelogram 3 units up and 4 units to the right to. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada