SOLUTION: I do not know how to do this? Determine whether a figure with the given vertices is a parallelogram using the slope formula B(26,23), C(2,23), e(24,4),G(24,4)

Algebra ->  Parallelograms -> SOLUTION: I do not know how to do this? Determine whether a figure with the given vertices is a parallelogram using the slope formula B(26,23), C(2,23), e(24,4),G(24,4)      Log On


   



Question 991190: I do not know how to do this?
Determine whether a figure with the given vertices is a parallelogram using the slope formula B(26,23), C(2,23), e(24,4),G(24,4)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The slopes of parallel lines are equal. So if the line through two adjacent vertices has a slope equal to the line through the other two vertices, then you at least have a trapezoid. Then if the other pair of lines also have equal slopes, you have a parallelogram.

The slope formula is:



where and are the coordinates of the given points.

You have to use this formula four times.

John

My calculator said it, I believe it, that settles it