SOLUTION: which of the following is true? a) A line segment is the part of the line between two specific points, not including the points themselves. b) The slope of a line segment is

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Question 840578: which of the following is true?
a) A line segment is the part of the line between two specific points, not including the points themselves.
b) The slope of a line segment is the same as the slope of the line containing the line segment.
c) Parallel line segments have slopes that are opposite in sign.
d) Perpendicular lines have the same slope.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let's go through each one by one

a) A line segment is the part of the line between two specific points, not including the points themselves.

This is false because the points themselves are included.

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b) The slope of a line segment is the same as the slope of the line containing the line segment.

This is true because the same two points are used in the slope formula, which yield the same slope.

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c) Parallel line segments have slopes that are opposite in sign.

This is false because parallel lines have equal slopes.

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d) Perpendicular lines have the same slope.

This is false because perpendicular lines have slopes that multiply to -1 (ex: 2/3 and -3/2 are perpendicular slopes because they multiply to -1)

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Final Answer: b) The slope of a line segment is the same as the slope of the line containing the line segment.