question 9 of 10

defg is definitely a parallelogram.

a. true
b. false

Question

question 9 of 10

defg is definitely a parallelogram.

a. true
b. false

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Parallelogram Proofs" ], "new_concepts": [ "Parallelogram Theorems" ], "current_concepts": [ "Parallelogram Proofs", "Parallelogram Theorems" ] } ## Analyze the given markings Using the *Parallelogram Proofs* knowledge point $$ \begin{aligned} &EF \parallel DG \quad \text{(indicated by arrows)} \ &EF \cong DG \quad \text{(indicated by tick marks)} \end{aligned} $$ ## Apply the parallelogram theorem Using the *Parallelogram Proofs* knowledge point $$ \begin{aligned} &\text{If one pair of opposite sides is both parallel and congruent,} \ &\text{then the quadrilateral is a parallelogram.} \end{aligned} $$ ## Determine the truth value Using the *Parallelogram Proofs* knowledge point $$ \begin{aligned} &\text{Since } EF \parallel DG \text{ and } EF \cong DG, \ &DEFG \text{ is definitely a parallelogram.} \ &\text{Therefore, the statement is True.} \end{aligned} $$

A. True

B. False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallelogram Proofs" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the given markings

Apply the parallelogram theorem

Determine the truth value

Answer: