question 8 of 10

how do you know if two line segments are parallel?

a. their slopes are equal.
b. their slopes are negative reciprocals.
c. the slope of one line is the negative of the slope of the other.
d. their slopes are reciprocals.

Question

question 8 of 10

how do you know if two line segments are parallel?

a. their slopes are equal.
b. their slopes are negative reciprocals.
c. the slope of one line is the negative of the slope of the other.
d. their slopes are reciprocals.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parallel Line Slopes" ], "new_concepts": [], "current_concepts": [ "Parallel Line Slopes", "Coordinate Geometry" ] } ## Identify the geometric condition for parallel lines $$ m_1 = m_2 $$ ## Evaluate the given options $$ \begin{aligned} &\text{A. Slopes are equal: } m_1 = m_2 \quad (\text{Parallel}) \ &\text{B. Slopes are negative reciprocals: } m_1 = -\frac{1}{m_2} \quad (\text{Perpendicular}) \ &\text{C. Slopes are negatives: } m_1 = -m_2 \ &\text{D. Slopes are reciprocals: } m_1 = \frac{1}{m_2} \end{aligned} $$

A. Their slopes are equal.

B. Their slopes are negative reciprocals.

C. The slope of one line is the negative of the slope of the other.

D. Their slopes are reciprocals.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Line Slopes" ] }

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Question

Explanation:

Identify the geometric condition for parallel lines

Evaluate the given options

Answer: