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Which statement proves that PQRS is a parallelogram? The slopes of SP and RQ are both –2 and SP = RQ = . The slopes of RS and QP are both 3 and SP = RQ = . The midpoint of RP is and the slope of RP is . The midpoint of SQ is and SQ = 5

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Answer:

The correct option is 1. The figure PQRS is a parallelogram, if slope of SP and RQ are both –2 and SP = RQ.

Step-by-step explanation:

The opposite sides of a parallelogram are parallel are equal.

In the quadrilateral PQRS,

PQ and RS are opposite sides.

SP and RQ are opposite sides.

The slope of two parallel lines are same.

If the slopes of SP and RQ are both –2. It means SP and RQ are parallel. It is also given that

SP = RQ

Since one pair of opposite sides are equal and parallel, therefore the another set of opposite sides is also parallel and equal.

The opposite sides are prallel and equation, so the quadrilateral PQRS is a parallelogram.

Thus correct option is 1.

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akposevictor

The statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.

Properties of the Sides of a Parallelogram

A parallelogram is a quadrilateral having two pairs of opposite sides that are equal and parallel to each other, and also, the slopes of opposite sides of a parallelogram are the same.

Therefore, the statement that proves that quadrilateral PQRS is a parallelogram is: A. The slopes of SP and RQ are both –2 and SP║RQ.

Learn more about parallelogram on:

https://brainly.com/question/3050890

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