Question

select all statements that are attributes of a rhombus.

• all sides congruent.
• opposite sides parallel.
• four right angles.
• diagonals are congruent.
• diagonals are perpendicular.

Explanation:

Define a rhombus and its core properties

A rhombus is a special type of parallelogram where all four sides are congruent. Because it is a parallelogram, it inherits all general parallelogram properties, such as opposite sides being parallel.

Evaluate each statement

• All sides congruent: True. This is the defining property of a rhombus.
• Opposite sides parallel: True. Since a rhombus is a parallelogram, its opposite sides must be parallel.
• Four right angles: False. This is a property of rectangles and squares, not necessarily a rhombus.
• Diagonals are congruent: False. Diagonals of a rhombus are only congruent if it is also a square.
• Diagonals are perpendicular: True. A key property of any rhombus is that its diagonals intersect at right angles.

Answer:

• All sides congruent. (Correct answer)
• Opposite sides parallel. (Correct answer)
• Four right angles.
• Diagonals are congruent.
• Diagonals are perpendicular. (Correct answer)