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Quadrilateral ABCD has coordinates A (3, -5), B (5, -2), C (10, -4), D (8, -7). Quadrilateral ABCD is a

Geometry
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Check the angles to see if they are 90 degrees. Opposite sides in parallelogram share the same length as well.
AB = sqr root (5-3)^2 + (-2+5)^2 = sqr root 13 BC = sqr root(10-5)^2 + (-4+2)^2= sqr root 29 CD= sqr root(8-10)^2 + ((-7+4)^2 = sqr root 13 DA = sqr root(3-8)^2 + (-5+7)^2 = sqr root 29 ABCD is paralellogram
Now that you know it's a parallelogram, you need to find out if it is also a rectangle. Find the slopes of two adjacent sides. If their product is -1, the sides are perpendicular, and it is a rectangle, if not, then it's just a parallelogram. |dw:1388333794191:dw|

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