# Math Help - Help with Graphing Geometry

1. ## Help with Graphing Geometry

I feel stupid asking this considering everyone else seems to be asking questions that seem 10 times more difficult than this... but..

The question was: "Find a fourth point, D, so that a parallelogram is formed using the vertices A(0,-4), B(5,-3), C(-4,-3) and D in any order. Plot your points and draw the parallelogram in the coordinate plane"

Could someone here help me out?

2. Hello, de1043!

Find a fourth point $D$ so that a parallelogram is formed
using the vertices $A(0,-4),\; B(5,-3),\; C(-4,-3)\text{ and }D$ in any order.
Plot your points and draw the parallelogram in the coordinate plane.
There are three possible parallelograms.

Code:
|
|
- - - - - - - - - - + - - - - - - - - - - -
|        D
|        o (1,-2)
|  *        *
C     *  |              *  B
(-4,-3) o        |                 o (5,-3)
*     |           *
*  |     *
o
A|(0,-4)
|

Code:
|
|
- - - - - - - - - - + - - - - - - - - - - -
|
|
|
C        |                 B
(-4,-3) o  *  *  *  *  *  *  *  *  o (5,-3)
*     |                    *
*  |                       *  D
o  *  *  *  *  *  *  *  *  o
A|(0,-4)                 (9,-4)
|

Code:
|
|
- - - - - - - - - - + - - - - - - - - - - -
|
|
|
C        |                 B
(-4,-3) o  *  *  *  *  *  *  *  *  o (5,-3)
*              |           *
D     *                    |     *
o  *  *  *  *  *  *  *  *  o
(-9,-4)                      A|(0,-4)
|

I'll let you figure out how I located those points.