Posted by **Vanessa** on Friday, October 19, 2012 at 9:53am.

Quadrilateral PQRS has vertices P(0,6), Q(-6,-2), R(2,-4), and S(4,2). Verify that the quadrilateral formed by joining the midpoints of the sides of PQRS is a parallelogram.

- Math -
**Steve**, Friday, October 19, 2012 at 11:03am
midpoints:

mPQ=A: (-3,2)

mQR=B: (-2,-3)

mRS=C: (3,-1)

mSP=D: (2,4)

check slopes:

AB: -5

BC: 2/5

CD: -5

DA: 2/5

parallel in pairs. OK.

## Answer this Question

## Related Questions

- Geometry - The coordinates of the vertices of quadrilateral ABCD are A (-8, 8...
- math - Quadrilateral PQRS is a parallelogram. If adjacent angles are congruent...
- Geometry - The lengths of the sides of quadrilateral PQRS are PQ=x^2, QR=20-x, ...
- Vector - Let P=(1,2,-1),Q=(3,-1,4),and R=(2,6,2) be three vertices of a ...
- math - A parallelogram is a convex quadrilateral with four vertices and two sets...
- MATH - PQRS is a parallelogram. points A and B trisect the base P. Prove that ar...
- Geometry - quadrilateral A B C D on a graph. Point A is at ( -5, -1), Point B ...
- geometry - What is the most precise name for quadrilateral ABCD with vertices A...
- algbra - a parallelogram is a quadrilateral whose opposite sides are parallel. ...
- vector proofs math 536 - if the diagonals of quadrilateral ABCD intersect at ...