Question

30 POINTS JUST ANSWER

Answer 1

The slope of line AB, BC, CD and AD are 1, -1/6, 2, -4/6 respectively. Quadrilateral ABCD with the given vertices is not a parallelogram because neither pair of opposite sides is parallel. Option C

How to determine the slope

Formula for slope is given as;

Slope = $\frac{y2 -y1}{x2 -x1}$

A(-4 -1)

B(-1 2)

C(5 1)

D(1 -3)

a. Slope of line AB = $\frac{2- (-1)}{-1 (-4)}$ = $\frac{2+ 1}{-1 + 4}$ = $\frac{3}{3}$ = 1

b. Slope of line BC = $\frac{1-2}{5-(-1)}$ = $\frac{-1}{6}$

c. Slope of line CD = $\frac{-3 - 5}{1-5}$ = $\frac{-8}{-4}$ = 2

d. Slope of line AD = $\frac{-3 (-1)}{1 -(-4)}$ = $\frac{-4}{5}$

Quadrilateral ABCD with the given vertices is not a parallelogram because neither pair of opposite sides is parallel. Option C

Thus, the slope of line AB, BC, CD and AD are 1, -1/6, 2, -4/6 respectively.

and quadrilateral ABCD with the given vertices is not a parallelogram because neither pair of opposite sides is parallel. Option C

Learn more about a parallelogram here:

brainly.com/question/3050890

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