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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 6 Page 500

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 AD: ( -2,4), ( - 1,- 1) - 1- 4/- 1-( - 2) - 5
Slope of BC: ( 5,4), ( 8, - 1) -1- 4/8- 5 - 5/3

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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arrow_right Exercises p.499-503
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Exercises 2 (Page 499)
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