Question: Select all of the statements that are always true for a kite. The diagonals bisect each other at right angles. The diagonals bisect each other. Exactly one pair of opposite sides is parallel. The diagonals bisect the angles of the quadrilateral. None of these.

1. **State the problem:** Identify which statements are always true for a kite. 2. **Recall properties of a kite:** - A kite is a quadrilateral with two pairs of adjacent sides equal. - The diagonals of a kite intersect at right angles. - One diagonal bisects the other. - Exactly one pair of opposite angles are equal. - Kites do not have parallel opposite sides. 3. **Analyze each statement:** - "The diagonals bisect each other at right angles." - False. The diagonals intersect at right angles, but only one diagonal is bisected by the other, not both. - "The diagonals bisect each other." - False. This is true for parallelograms, not kites. - "Exactly one pair of opposite sides is parallel." - False. Kites do not have parallel opposite sides. - "The diagonals bisect the angles of the quadrilateral." - False. Only one diagonal bisects the angles at its endpoints. - "None of these." - False, because the diagonals intersect at right angles and one diagonal bisects the other. 4. **Conclusion:** - The only always true property is that the diagonals intersect at right angles and one diagonal bisects the other, but none of the given statements exactly match this. Therefore, none of the provided statements are always true for a kite as written.