Questions: How do you know if two line segments are parallel? A. Their slopes are reciprocals. B. Their slopes are negative reciprocals. C. Their slopes are equal. D. The slope of one line is the negative of the slope of the other.

How do you know if two line segments are parallel? A. Their slopes are reciprocals. B. Their slopes are negative reciprocals. C. Their slopes are equal. D. The slope of one line is the negative of the slope of the other.
Transcript text: How do you know if two line segments are parallel? A. Their slopes are reciprocals. B. Their slopes are negative reciprocals. C. Their slopes are equal. D. The slope of one line is the negative of the slope of the other.
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Solution

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Solution Steps

Step 1: Understanding Parallel Line Segments

To determine if two line segments are parallel, we need to examine their slopes. Parallel lines have a specific relationship between their slopes.

Step 2: Analyzing Slope Relationships

The key property of parallel lines is that they have the same slope. This means that if two line segments are parallel, their slopes must be equal.

Step 3: Identifying the Correct Option

Given the options:

  • A. Their slopes are reciprocals.
  • B. Their slopes are negative reciprocals.
  • C. Their slopes are equal.
  • D. The slope of one line is the negative of the slope of the other.

The correct choice is C, as parallel line segments have equal slopes.

Final Answer

The correct answer is C.

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