Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither P(-3,14) q(2,-1) r(4,8) s(-2,-10)
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Answer:
work is shown and pictured
First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.
Distance formula:
√((-2 + 5)^2 + (-8 + 4)^2)
√((3)^2 + (4)^2)
√9 + 16
√25
5
The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.
5^2 = 25
<h3>The area is 25.</h3>