in the diagram, the length of segment tq is 40 units
what is the length of segment qv?
32 units
36 units
40 units
44 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": [ "Perpendicular Bisector Theorem" ], "new_concepts": [], "current_concepts": [ "Perpendicular Bisector Theorem", "Rhombus Properties" ] } ## Set up the equation for x $$ \begin{aligned} &ST = SV \ &2x + 8 = 3x - 4 \ &x = 12 \end{aligned} $$ ## Calculate the length of SV $$ \begin{aligned} &SV = 3(12) - 4 \ &SV = 32 \end{aligned} $$ ## Determine the length of QV $$ \begin{aligned} &QV = SV \ &QV = 32 \end{aligned} $$

(A) 32 units

(B) 36 units

(C) 40 units

(D) 44 units

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Perpendicular Bisector Theorem" ] }

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Question

Explanation:

Set up the equation for x

Calculate the length of SV

Determine the length of QV

Answer: