Rhombus Properties A75Cf2

1. **State the problem:** We need to determine which statements are always true for a rhombus. 2. **Recall properties of a rhombus:** - All sides are equal in length. - Opposite sides are parallel. - Opposite angles are equal. - Diagonals bisect each other at right angles. - Each diagonal bisects a pair of opposite angles. - Diagonals are generally not equal in length (unless the rhombus is a square). 3. **Evaluate each statement:** - "The opposite angles are equal." This is true for all rhombuses. - "Exactly one diagonal bisects a pair of opposite angles." This is false; both diagonals bisect opposite angles. - "The diagonals are equal." This is false unless the rhombus is a square. - "The opposite sides are parallel." This is true for all rhombuses. - "None of these." This is false because some statements are true. 4. **Final answer:** The statements that are always true for a rhombus are: - The opposite angles are equal. - The opposite sides are parallel. Hence, the correct selections are these two statements.