SOLUTION: The vertices of the rhombus ABCD are A(-7,3),B(2,8),C(7,-1)and D(-2,-6). a) Show that the opposite sides are parallel. b) Show that the diagonals bisect each other. I found the

Question 135476: The vertices of the rhombus ABCD are A(-7,3),B(2,8),C(7,-1)and D(-2,-6).
a) Show that the opposite sides are parallel.
b) Show that the diagonals bisect each other.
I found the slopes to be : AB=5/9,BC=-9/5,CD=5/9,and AD=-9/5 so the opposite sides are parallel. For part (b) I found the midpoint for AC (-4,5) and BD(0,1). I think I may have this part wrong. Can someone please help me ???
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
You seem to be doing all the right things to me. Just check the point you found to be the midpoint of AC.
RELATED QUESTIONS
A parallelogram whose diagonals are perpendicular is called a rhombus. Given the... (answered by Solver92311)

Given that the four points A(1,2), B(2,-5), C(7,0) and D(p,q) are the vertices of rhombus (answered by mananth)

1. The coordinates of the vertices of parallelogram ABCD are A(�1, �3), B(7, 2), C(5, 8), (answered by ewatrrr)

Okay I have to graph the points A(-5,0) , B(3, 2) C(5, 6) and D(-3 4). Then show that... (answered by rothauserc)

The coordinates of the vertices of parallelogram ABCD are A(−1, −3), B(7, 2), (answered by MathLover1)

the vertices of a quadrilateral are A (-2,3), B(5,4), C(4,-3) and D(-3,-4) prove that... (answered by math-vortex)

The coordinates of the vertices of parallelogram ABCD are A(-1,-3), B(7,2), C(5,8),... (answered by greenestamps)

A parallelogram is a quadrilateral with two pairs of parallel sides. Show that ABCD is a... (answered by checkley71)

If A(3,6) and C(-1,2) are two vertices of a rhombus ABCD, then find the equation of... (answered by ikleyn)