Question

Points Graph and determine if the quadrilateral is a parallelogram.

A(-1,3) B(4,3) C(2,-1) D(-3,-1)
The quadrilateral is a parallelogram because the slope of AB DC-
Therefore, since both pairs of opposite sides are
a parallelogram.
and the slope of
ABCD must be

Answer 1

To determine if the quadrilateral ABCD is a parallelogram, we need to check if opposite sides have the same slope. AB and DC have the same slope (0), so the quadrilateral ABCD is a parallelogram.

Step-by-step explanation:

To determine if the quadrilateral ABCD is a parallelogram, we need to check if opposite sides have the same slope. Let's find the slopes of AB and DC.

AB: slope = (change in y) / (change in x) = (3 - 3) / (4 - (-1)) = 0 / 5 = 0

DC: slope = (change in y) / (change in x) = (-1 - (-1)) / (2 - (-3)) = 0 / 5 = 0

Since AB and DC have the same slope (0), the quadrilateral ABCD is a parallelogram.