consider kite fghj.
what are the values of (a) and (b)?

- (a = 14, b = 6)
- (a = 14, b = 8)
- (a = 17, b = 6)
- (a = 17, b = 8)

Question

consider kite fghj.
what are the values of (a) and (b)?

- (a = 14, b = 6)
- (a = 14, b = 8)
- (a = 17, b = 6)
- (a = 17, b = 8)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Properties of Quadrilaterals" ], "new_concepts": [ "Kite Properties" ], "current_concepts": [ "Properties of Quadrilaterals", "Kite Properties" ] } ## Set up equations using kite properties $$ \begin{aligned} &GH = HJ \implies 2a - 4 = 24 \ &FG = FJ \implies 30 = 3b + 6 \end{aligned} $$ ## Solve for a $$ \begin{aligned} 2a - 4 &= 24 \ 2a &= 28 \ a &= 14 \end{aligned} $$ ## Solve for b $$ \begin{aligned} 3b + 6 &= 30 \ 3b &= 24 \ b &= 8 \end{aligned} $$

(A) $a = 14, b = 6$

(B) $a = 14, b = 8$

(C) $a = 17, b = 6$

(D) $a = 17, b = 8$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Properties of Quadrilaterals" ] }

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Question

Explanation:

Set up equations using kite properties

Solve for a

Solve for b

Answer: