question 6 of 40

which of these angle pairs are congruent because they are corresponding angles?

a. 1 and 6
b. 1 and 3
c. 1 and 8
d. 1 and 2

Question

question 6 of 40

which of these angle pairs are congruent because they are corresponding angles?

a. 1 and 6
b. 1 and 3
c. 1 and 8
d. 1 and 2

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Corresponding Angles" ], "current_concepts": [ "Corresponding Angles", "Parallel Lines and Transversals" ] } ## Identify corresponding positions relative to the intersection points $$ \begin{aligned} &\text{Upper intersection: } \angle 4 \text{ (top-right), } \angle 8 \text{ (top-left), } \angle 7 \text{ (bottom-left), } \angle 3 \text{ (bottom-right)}\ &\text{Lower intersection: } \angle 2 \text{ (top-right), } \angle 6 \text{ (top-left), } \angle 5 \text{ (bottom-left), } \angle 1 \text{ (bottom-right)} \end{aligned} $$ ## Match corresponding angle pairs $$ \begin{aligned} &\angle 1 \text{ and } \angle 3 \text{ are both in the bottom-right position of their respective intersections.} \end{aligned} $$ ## Evaluate the given options $$ \begin{aligned} &\text{A. } 1 \text{ and } 6 \text{ (Alternate Interior Angles)}\ &\text{B. } 1 \text{ and } 3 \text{ (Corresponding Angles)}\ &\text{C. } 1 \text{ and } 8 \text{ (Alternate Exterior Angles)}\ &\text{D. } 1 \text{ and } 2 \text{ (Consecutive Interior Angles / Supplementary)} \end{aligned} $$

A. 1 and 6

B. 1 and 3

C. 1 and 8

D. 1 and 2

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Corresponding Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify corresponding positions relative to the intersection points

Match corresponding angle pairs

Evaluate the given options

Answer: