3.8 geometry 10th grade

Question

Use slopes to determine whether the opposite sides of quadrilateral ABCD are parallel.

A(-3,1), B(1,-2), C(0,-3), D(-4,0)

Answer 1

Parallel lines have the same slope. I drew a quick graph to show the how the quadrilateral will look like, you'll find AB looks like it's parallel to DC and AD is parallel to CB.

So, slope of AB = Change in Y / Change of X

= (-2 - 1) / (1- -3) = -3/4

Slope of DC = (-3 - 0) / (0 - -4) = -3/4

Since the slopes are equal AB is parallel to DC

Hope that helps

For Lines DA and CB:

Slope DA = (0 - 1) / (-4 - -3) = 1

Slope CB = (-3 - -2) / (0 -1) = 1

Those are equal to!

Hope that helped