SOLUTION: How can a slope be used to identify parallelograms in the coordinate plane?
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Question 587361: How can a slope be used to identify parallelograms in the coordinate plane?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
In order to identify a quadrilateral as a parallelogram, you must demonstrate that opposite sides of the quadrilateral are parallel. Parallel lines have identical slopes. Given the coordinates of the vertices, you can use the slope formula to calculate the slope of the lines containing each of the four sides of the quadrilateral. If two of the sides have equal slopes and the other two sides also have equal slopes, then the quadrilateral is a parallelogram, otherwise not.
The slope formula is:
where )
and )
are the coordinates of the given points.
John
My calculator said it, I believe it, that settles it
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