Question

Use slopes to show that the points are vertices of the parallelogram.

A(-3,1), B(5,3),C(3,0), D(-5,-2)

Answer 1

find the slope of A-B, B-C, C-D, and D-A

compare them, you should have 2 sets of parallel slopes perpendicular to one another

Answer 2

I don't understand the part where you say they are perpendicular to one another...

Answer 3

Show that AB and CD are parallel and BC and AD are parallel.

Answer 4

m(a,b)=1/4, m(b,c)=3/2, m(c,d)=1/4 m(d,a)=3/2

Answer 5

Okay, so now use the definition of a parallelogram to finish your proof.

Answer 6

Since m(a,b)=m(c,d) and m(b,c)=m(d,a) then the points are vertices of a parallelogram.

Answer 7

How would I be able to solve a problem like this where my polygon is a right triangle, trapezoid or rectangle?

Answer 8

you need to knw the properties of each of them.using those properties u can solve.

Answer 9

I saw it with the parallelogram and rectangle but not for a trapezoid and right triangle.