SOLUTION: Show that quadrilateral whose vertices are(-4,-2) (2,-10)(8,-5)(2,3) is a parallelogram

Algebra ->  Geometry-proofs -> SOLUTION: Show that quadrilateral whose vertices are(-4,-2) (2,-10)(8,-5)(2,3) is a parallelogram      Log On


   

Question 923972: Show that quadrilateral whose vertices are(-4,-2) (2,-10)(8,-5)(2,3) is a parallelogram
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Label the points

A(-4,-2)
B(2,-10)
C(8,-5)
D(2,3)


The quadrilateral has these sides: AB, BC, CD, AD

You need to show that AB is parallel to CD and BC is parallel to AD

Recall that two lines are parallel if their slopes are equal. So you need to show the two slopes are equal which means you need to use the slope formula to compute the slopes.