SOLUTION: With the vertices of a quadrilateral being (-5,3), (2,2), (4,-3), and (-2,-2), how would I use slope in order to find if it's a parallelogram?

Question 988700: With the vertices of a quadrilateral being (-5,3), (2,2), (4,-3), and (-2,-2), how would I use slope in order to find if it's a parallelogram?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Parallel lines have equal slopes. If the two of the opposite sides of your quadrilateral have equal slopes, you, at least, have a trapezoid. If the other two sides also have equal slopes, you have a parallelogram. If none of the pairs of slopes are equal, then you just have a general quadrilateral.

John

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

RELATED QUESTIONS
Apply Slope, Midpoint and Length Formulas 4. Verify that the quadrilateral with vertices (answered by jim_thompson5910)

MATH 10 PERFORMANCE TASK NO.2 DIRECTION: Gwen the length of the sides of the... (answered by Alan3354)

The points (-4, -3), (1,4), (4, 2) and (-1, -5) are vertices of a quadrilateral. Use... (answered by jim_thompson5910)

Find the area of a quadrilateral having the points (-3, 4), (-2, -1), (4, 4) and (0, 5)... (answered by Alan3354,ikleyn)

The vertices of a quadrilateral are (�2, 3), (4, 3), (�1, �1), and (5, �1). What... (answered by Fombitz)

[Quadrilateral] If the oppisite sides of a quadrilateral are use parallel, then it is a... (answered by josmiceli,MathLover1)

find the are of a quadrilateral having points (5,2), (4,3), (2,4), (-8,-1) as consecutive (answered by math_tutor2020,ikleyn,Alan3354)

A parallelogram whose diagonals are perpendicular is called a rhombus. Given the... (answered by Solver92311)

Find the area of quadrilateral formed with vertices... (answered by Alan3354)