SOLUTION: are the lines parallel, perpendicular, or neither? AB: A(0,2) B(3,4) C(2,7) D(-1,5)
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Question 805403: are the lines parallel, perpendicular, or neither? AB: A(0,2) B(3,4) C(2,7) D(-1,5)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
AB is parallel to CD and BC is parallel to AD.
There are no perpendicular lines.
ABCD is a parallelogram, but not a rectangle.
Parallel lines have the same slope. Perpendicular lines have slopes whose product is .
slope of AB = and slope of DC =
Both slopes are the same, so AB is parallel to DC
slope of BC = and slope of DA =
Both slopes are the same, so BC is parallel to DA.
The product of the slopes and is
so there are no perpendicular lines in ABCD.
From the drawing (see below) I can tell that it is not a rhombus, because the sides have different length, so diagonals AC and BD are not perpendicular.
AB and CD are units long.
BC and DA are units long
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