Question

question 5 of 10
how do you know if two line segments are parallel?
a. their slopes are negative reciprocals.
b. their slopes are reciprocals.
c. their slopes are equal.
d. the slope of one is the negative of the slope of the other.

Explanation:

Step1: Recall slope - parallel line relationship

Parallel lines have equal slopes.

Step2: Recall slope - perpendicular line relationship

Perpendicular lines have slopes that are negative reciprocals.

Step3: Analyze the options

Option A is for parallel lines. Option B is incorrect as negative reciprocals are for perpendicular lines. Option C is also for perpendicular lines. Option D correctly describes the condition for non - parallel and non - perpendicular lines in terms of slope relationship.

Answer:

D. The slope of one is the negative of the slope of the other.