in the diagram, $\overline{dg} \parallel \overline{ef}$.

what additional information would prove that defg is an isosceles trapezoid?

$\bigcirc$ $\overline{de} \cong \overline{gf}$
$\bigcirc$ $\overline{de} \cong \overline{dg}$
$\bigcirc$ $\overline{ef} \cong \overline{dg}$
$\bigcirc$ $\overline{ef} \cong \overline{gf}$

Question

in the diagram, $\overline{dg} \parallel \overline{ef}$.

what additional information would prove that defg is an isosceles trapezoid?

$\bigcirc$ $\overline{de} \cong \overline{gf}$
$\bigcirc$ $\overline{de} \cong \overline{dg}$
$\bigcirc$ $\overline{ef} \cong \overline{dg}$
$\bigcirc$ $\overline{ef} \cong \overline{gf}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Isosceles Trapezoid Definition", "Trapezoid Properties" ], "current_concepts": [ "Isosceles Trapezoid Definition", "Trapezoid Properties" ] } ## Identify the given geometric properties $$ \overline{DG} \parallel \overline{EF} $$ ## Apply the definition of an isosceles trapezoid An isosceles trapezoid is a trapezoid in which the non-parallel sides (legs) are congruent: $$ \overline{DE} \cong \overline{GF} $$

(A) $\overline{DE} \cong \overline{GF}$

(B) $\overline{DE} \cong \overline{DG}$

(C) $\overline{EF} \cong \overline{DG}$

(D) $\overline{EF} \cong \overline{GF}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Isosceles Trapezoid Definition" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given geometric properties

Apply the definition of an isosceles trapezoid

Answer:

Identify the given geometric properties

Apply the definition of an isosceles trapezoid