Kite Properties C99F2C

1. **Problem Statement:** Identify which statements are always true for a kite. 2. **Definition and Properties of a Kite:** A kite is a quadrilateral with two pairs of adjacent sides equal. Important properties include: - The diagonals intersect at right angles. - One diagonal bisects the other. - The diagonals are generally not equal. - The angles are not necessarily right angles. 3. **Evaluate each statement:** - "All angles are right angles": This is false. Kites do not necessarily have right angles. - "The diagonals are equal": This is false. Diagonals in a kite are generally unequal. - "The diagonals bisect each other at right angles": This is false. They intersect at right angles, but only one diagonal bisects the other, not both. - "The diagonals bisect each other": This is false. Only one diagonal is bisected by the other. - "None of these": This is false because some statements about diagonals intersecting at right angles and one diagonal bisecting the other are true. 4. **Correct statements always true for a kite:** - The diagonals intersect at right angles. - One diagonal bisects the other. 5. **Summary:** The statements "The diagonals bisect each other at right angles" and "The diagonals bisect each other" are not fully correct as stated. The true properties are: - The diagonals intersect at right angles. - One diagonal bisects the other. Therefore, none of the given statements exactly match the true properties, but the closest correct facts are about the diagonals intersecting at right angles and one diagonal bisecting the other. **Final answer:** The statements "The diagonals bisect each other at right angles" and "The diagonals bisect each other" are not always true as stated. Hence, the correct always true properties are: - The diagonals intersect at right angles. - One diagonal bisects the other. Since these exact options are not listed, the best choice is to select none of the given statements as always true.