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State whether True or False. All kites...

State whether True or False.
All kites are rhombuses.

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To determine whether the statement "All kites are rhombuses" is true or false, we need to analyze the definitions of a kite and a rhombus. ### Step-by-Step Solution: 1. **Definition of a Kite**: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. This means that if we label the vertices of the kite as A, B, C, and D, then AB = AD and BC = CD. Additionally, a kite has one pair of opposite angles that are equal. 2. **Definition of a Rhombus**: A rhombus is a quadrilateral where all four sides are of equal length. This means that if we label the vertices of the rhombus as P, Q, R, and S, then PQ = QR = RS = SP. In a rhombus, both pairs of opposite angles are also equal. 3. **Comparison**: - In a kite, only two pairs of adjacent sides are equal, and there is only one pair of opposite angles that are equal. - In a rhombus, all four sides are equal, and both pairs of opposite angles are equal. 4. **Conclusion**: Since a kite does not necessarily have all four sides equal (it only has two pairs of equal adjacent sides), it cannot be classified as a rhombus. Therefore, the statement "All kites are rhombuses" is false. ### Final Answer: **False**
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