Math Problem Statement
answer letter c. answer only no explanation
Consider kite KLMN on the right. 1. Name the pairs of congruent and adjacent sides. 2. If LM = 6, what is MN? 3. If LN = 7 cm and KM = 13 cm, what is KL? 4. If KL = 7 cm, what is KM? 5. If the area is 96 cm² and LN = 8 cm, what is the area? 6. If m∠K = 63°, what is m∠3? 7. If m∠L = 31°, what is m∠MN? 8. If m∠5 = 22°, what is m∠4? 9. If m∠KL = 39°, what is m∠MN?
Solution
- Pairs of congruent sides: KL = MN, KN = LM.
- LM = 6, MN = 5.
- LN = 7 cm, KN = 13 cm.
- KL = 13 cm, KM = 5 cm.
- Area = 96 cm².
- m∠K = 63°.
- m∠L = 31°.
- m∠M = 22°.
- m∠K = 39°, m∠L = 41°.
- m∠L = 70°, m∠K = 40°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Kites
Area
Angles
Formulas
Area of a kite = 1/2 × d₁ × d₂ (where d₁ and d₂ are the diagonals)
Sum of interior angles of a quadrilateral = 360°
Theorems
Midline Theorem
Properties of Kites
Suitable Grade Level
Grades 8-10