SOLUTION: show that A(0,0), B(-4,-5), C(3,-4), and D(7,1) are vertices of a parallelogram

Question 934420: show that A(0,0), B(-4,-5), C(3,-4), and D(7,1) are vertices of a parallelogram

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Assuming the parallelogram is ABCD, you need to show that

AB || CD
and
BC || AD

You do so by computing the slopes of AB & CD and seeing if they are equal or not. The same applies for BC & AD.

Note: the two vertical lines "||" means "parallel" (eg: "AB || CD" means "AB is parallel to CD")

RELATED QUESTIONS
Show that A(-4,-1), B(0,-2), C (6,1) and D(2,2) are vertices of a... (answered by nburge)

Show that A(1,1),B(4,1),C(3,-2) and D(0,-2) are the vertices of a... (answered by Alan3354,greenestamps)

Could someone help? - The vertices of a parallelogram are A(-4,-1),B(5,-6), C(11,-3) and (answered by nycsub_teacher)

Show that the points A(-2,9), B(4,6), C(1,0), & D(-5,3) are vertices of a... (answered by solver91311)

Suppose that Parallelogram ABCD has vertices A(2, 4), B(8, 4), C(5, -3) and D(-1, -3).... (answered by KMST)

Show that the points A(5,-1),B(2,-5),C(7,-5)and D(10,-1)are the vertices of... (answered by Edwin McCravy)

Show that the points (1,-3),(4,3),(3,7) and (0,-1) are vertices of a... (answered by Alan3354)

In the diagram, three vertices of parallelogram ORST are O(0, 0), R(b, d), and T(a,0).... (answered by Edwin McCravy)

. Show that A(-4, 2), B(1, 4), C(3, -1) and D(-2, -3) are vertices of a... (answered by Edwin McCravy)