4-4 Parallel and Perpendicular Lines
A garden is in the shape of a quadrilateral with vertices A( 2, 1), B(3, 3), C(5, 7), and D( 3, 4). Two
paths represented by
and
cut across the garden. Are the paths perpendicular? Explain.
Find the slope of
.
Find the slope of
.
The slope of
, so the two paths are perpendicular.
A square is a quadrilateral that has opposite sides parallel, consecutive sides that are
perpendicular, and diagonals that are perpendicular. Determine whether the quadrilateral is a square. Explain.
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Sides
are both vertical line segments and have undefined slopes, so they are parallel. Sides