Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 26
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40The slope of the line through the pottery and hair accessories is
. They are
4-4 Parallel and Perpendicular Lines
opposite reciprocals, so they are perpendicular.
To create a design on a computer, Andeana must enter the coordinates for points on the design. One
line segment she drew has endpoints of ( 2, 1) and (4, 3). The other coordinates that Andeana entered are (2, 7)
and (8, 3). Could these points be the vertices of a rectangle? Explain.
Find the slope of the first line segment she drew.
Find the slope of the line segments that would be drawn between the other coordinates Andeana entered.
The slopes of these two line segments are not equal, so they are not parallel. Opposite sides of a rectangle must be
parallel, so the points are not vertices of a rectangle.
In this problem, you will explore parallel and perpendicular lines.
Graph the points A( 3, 3), B(3, 5), and C( 4, 0) on a coordinate plane.
Determine the coordinates of a fourth point D that would form a parallelogram. Explain your
reasoning.
What is the minimum number of points that could be moved to make the parallelogram a
rectangle? Describe which points should be moved and explain why.
a. To plot point A, start at the origin, go 3 units to the left and 3 units up. To plot point B, start at the origin, go 3 units
to the right and 5 units up. To plot point C, start at the origin and go 4 units to the left.
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b. Looking at the graph, the slope of
would have to
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