What is the relationship between the diagonals of a kite?
Understand the Problem
The question asks about the properties of the diagonals in a kite, specifically their relationships in terms of congruence, parallelism, bisection, and perpendicularity. We need to determine which of these statements about the diagonals of a kite is true.
Answer
The diagonals of a kite are perpendicular and the longer diagonal bisects the shorter one.
The diagonals of a kite are perpendicular to each other, and the longer diagonal bisects the shorter diagonal.
Answer for screen readers
The diagonals of a kite are perpendicular to each other, and the longer diagonal bisects the shorter diagonal.
More Information
The perpendicularity of the diagonals in a kite is a fundamental property distinguishing it from other quadrilaterals, aiding in its geometric analysis.
Tips
A common mistake is to assume the diagonals are equal or that both diagonals bisect each other.
Sources
- Properties of a Kite | Geometry - Cuemath - cuemath.com
- Proof: The diagonals of a kite are perpendicular - Khan Academy - khanacademy.org
- What is special about the diagonals of a kite in maths? - Quora - quora.com
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