- #1

crayzwalz

- 10

- 0

## Homework Statement

The diagonals of quadrilateral ABCD bisect each other. Use vectors to prove that ABCD is a parallelogram.

## The Attempt at a Solution

let O = point of intersection

AO = AD + DO

DO = 1/2DB

AO = AD + 1/2 DB

AO = AB + BO

BO = -1/2DB

AO = AB - 1/2DB

2AO = AD + 1/2DB - 1/2DB + AB

AC = 2AO

AC = AD + AB (this is true for parallelograms)

is this solution correct?