SOLUTION: ABCD is a quadrilateral with A(8,-1), B(10,-7), C(-6,-1), and D(0,2). Determine whether ABCD is a trapezoid. Justify your answer algebraically. Thanks a lot!

Algebra ->  Angles -> SOLUTION: ABCD is a quadrilateral with A(8,-1), B(10,-7), C(-6,-1), and D(0,2). Determine whether ABCD is a trapezoid. Justify your answer algebraically. Thanks a lot!      Log On


   

Question 841424: ABCD is a quadrilateral with A(8,-1), B(10,-7), C(-6,-1), and D(0,2). Determine whether ABCD is a trapezoid. Justify your answer algebraically.
Thanks a lot!
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
(EDIT: The distance formula should NOT be needed.)
Use formula for slope to get the slope of each side's line.

A trapezoid will have exactly one pair of opposite sides being parallel, meaning their slopes are equal. Also, their lengths will be different.

I did not give you the solution or the specific steps, but you should be able to perform them yourself, based on relationships I briefly described.