SOLUTION: Determine whether a quadrilateral with vertices A (5,7) B (1, -1) C (-6,-3) and D (-2,5) s a parallelogram. Use the slope formula. Please Note: My teacher did not give us much inf

Algebra ->  Angles -> SOLUTION: Determine whether a quadrilateral with vertices A (5,7) B (1, -1) C (-6,-3) and D (-2,5) s a parallelogram. Use the slope formula. Please Note: My teacher did not give us much inf      Log On


   



Question 851446: Determine whether a quadrilateral with vertices A (5,7) B (1, -1) C (-6,-3) and D (-2,5) s a parallelogram. Use the slope formula.
Please Note: My teacher did not give us much information on how to do this problem. I cannot find how to do it/ get the answer in our book.
Thank You in Advance, Tutor!

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE FORMULA
Two points (r,s) and (u,v) in a plane have slope %28v-s%29%2F%28u-r%29.

Lines with equal slopes are parallel. Opposite sides of a parallelogram are parallel; this occurs for both pair of opposite sides of a parallelogram. This also means that opposite sides of a parallelogram have the same slope.

The instruction, "Use the slope formula", means find the slope for AB, BC, CD, and DA. Now you can answer the question.