consider quadrilateral efgh.
what is the length of line segment gh?
5 units
7 units
16 units
24 units

Question

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 Properties" ], "current_concepts": [ "Isosceles Trapezoid Properties", "Algebraic Equation Solving" ] } ## Equate the non-parallel legs of the isosceles trapezoid $$ \begin{aligned} EF &= GH \ 4n - 4 &= 2n + 6 \end{aligned} $$ ## Solve for n $$ \begin{aligned} 2n &= 10 \ n &= 5 \end{aligned} $$ ## Calculate the length of GH $$ \begin{aligned} GH &= 2(5) + 6 \ GH &= 16 \end{aligned} $$

5 units

7 units

16 units

24 units

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

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Question

Explanation:

Equate the non-parallel legs of the isosceles trapezoid

Solve for n

Calculate the length of GH

Answer: