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Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent?
Use the slope formula to prove the slopes of the opposite sides are the same.
Use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.
• Use the distance formula to prove the lengths of the opposite sides are the same.
Use the distance formula to prove the midpoints of the opposite sides are the same.

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Answer:

The Correct Statement is

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

Step-by-step explanation:

The statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent is,

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

Distance Formula is given by

[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]

For Parallel Lines:

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

For Perpendicular Lines:

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

akposevictor

If the opposite sides of a quadrilateral are congruent, it means the lengths are equal. Therefore, we would:

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

What is the Distance Formula?

  • In coordinate geometry, the distance between two vertices of a quadrilateral on a coordinate plane can be determined using the distance formula that is represented as: [tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} }[/tex].

Thus, if the opposite sides of a quadrilateral are congruent, it means the lengths are equal. Therefore, we would: C. Use the distance formula to prove the lengths of the opposite sides are the same.

Learn more about distance formula on:

https://brainly.com/question/661229

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