Thread: Find a coordinate of a Paralellogram?

http://img198.imageshack.us/i/1192010101535pm.jpg/

Any help...I'm stumped.

Hello, rcfreak339!

I don't suppose you made a sketch . . .

is a parallelogram
with vertices: .

(a) Find the coordinates of point

Code:

              |   D
              |   o
              |   :
              |   :           C
              |   :           o (8,7)
              |   :           :
     (-2,1)   |   :           :
      A o - - | - *           :9
    - - - - - + - - - - - - - : - - -
              |               :
              |   B o - - - - *
              |  (2,-2)  6
              |

Since lists the vertices in order,
. . the diagram shows the position of vertex

Going from to , we move right 6, up 9.

Since is parallel to , we must do the same from vertex

Moving "right 6, up 9" from puts us at: .

(b) Determine if parallelogram is a rectangle.

Compare the slopes of and

. .

. .


The slopes are not negative reciprocals of each other.

Hence, is not perpendicular to

Therefore, is not a rectangle.

^Thank you for the very informed and helpful post! I just am not very good at graphing and such, I can do Algebra any day but when t comes to Coordinates I am just not good...