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McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
3. Tests for Parallelograms
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Exercise 26 Page 501

If both pairs of opposite sides are parallel, then the quadrilateral is a parallelogram.

Graph:

Is It a Parallelogram? No.

Practice makes perfect
Let's plot the given points and draw the quadrilateral on a coordinate plane. Then we can use the Slope Formula to determine whether it is a parallelogram.

A quadrilateral is a parallelogram if both pairs of opposite sides are parallel. Let's check if the sides are parallel.

Side Slope Formula Simplify
Slope of XY: ( -6,2), ( - 4,7) 7- 2/- 4-( -6) 5/2
Slope of WV: ( 1, -2), ( 3,5) 5-( - 2)/3- 1 7/2

The slopes of the opposite sides of our quadrilateral are not equal. Therefore, both pairs of opposite sides are not parallel. Our quadrilateral is not a parallelogram.

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