Question

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent?


A. Use the slope formula to prove the slopes of the opposite sides are the same.

B. Use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.

C. Use the distance formula to prove the lengths of the opposite sides are the same.

D. Use the distance formula to prove the midpoints of the opposite sides are the same.

Answer 1

Answer:

C. Use the distance formula to prove the lengths of the opposite sides are the same.

Step-by-step explanation:

To prove that the opposite sides of a quadrilateral are congruent, we simply use the Distance formula to prove that the lengths of the given opposite sides are the same.

Take for example a Quadrilateral ABCD, we prove that

• |AB|=|CD|
• |AD|=|BC|

Once we have shown that, we can conclude that opposite sides are congruent.

The correct option is C.