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Stan knows that segment AB∥segment CD. He wants to use the definition of a parallelogram to prove that quadrilateral ABCD is a parallelogram. Which equation can he use?

User DropHit
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1 Answer

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Answer:


(q - r)/(m- n) = (p - s)/(m - n)

Explanation:

Given

See attachment for parallelogram

Required

Proof that ABCD is a parallelogram

We know that opposite sides are equal and parallel.

First, we calculate the slope of BC


m = (y_2 - y_1)/(x_2 - x_1)

So, we have:


m = (q - r)/(m- n)

Next, the slope of AD using:


m = (y_2 - y_1)/(x_2 - x_1)

So, we have:


m = (p - s)/(m - n)

For ABCD to be a parallelogram; then:


(q - r)/(m- n) = (p - s)/(m - n)

Stan knows that segment AB∥segment CD. He wants to use the definition of a parallelogram-example-1
User Medievalist
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