SOLUTION: Show that the points A(5,-1),B(2,-5),C(7,-5)and D(10,-1)are the vertices of parallelogram.

Algebra ->  Parallelograms -> SOLUTION: Show that the points A(5,-1),B(2,-5),C(7,-5)and D(10,-1)are the vertices of parallelogram.      Log On


   

Question 1068973: Show that the points A(5,-1),B(2,-5),C(7,-5)and D(10,-1)are the vertices of parallelogram.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The slope formula is:

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1. Use the slope formula the find the slope of AB.
2. Use the slope formula the find the slope of CD.

Those should be equal (4/3) which shows that AB is parallel to CD.

3. Use the slope formula the find the slope of AD.
4. Use the slope formula the find the slope of BC.

Those should be equal (0) which shows that AD is parallel to BC.

A quadrilateral with opposite sides parallel is a parallelogram.

Edwin