Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 3
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404-4 Parallel and Perpendicular Lines
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.
Sides
are both vertical line segments and have undefined slopes, so they are parallel. Sides
Side
1 (down 1 unit, right 1 unit). Side
slopes of
Determine whether the graphs of the following equations are parallel or perpendicular . Explain.
y = 2x, 2y = x, 4y = 2x + 4
The slope of the first equation is 2. Write the second two equations in slope-intercept form.
The slope of the second equation is
.
The slope of the third equation is .
The slope of y = 2x is the opposite reciprocal of the slope of 2y = x and 4y = 2x + 4, so it is perpendicular to the
other two graphs. And, the slopes of 2y = x and 4y = 2x + 4 are equal, so they are parallel.
y =
x, 3y = x, y =
x
Page 3
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The slope of the first equation is . Write the second equation in slope-intercept form.
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