Question

identifying properties of a rectangle
which characteristic guarantees that a parallelogram is a rectangle?
the opposite sides are parallel.
the diagonals are perpendicular bisectors.
the diagonals are congruent.
all of the sides are congruent.

Explanation:

• For a parallelogram:
• The property “the opposite sides are parallel” is a general property of all parallelograms, not specific to rectangles.
• The property “the diagonals are perpendicular bisectors” is a property of rhombuses (a special type of parallelogram).
• The property “all of the sides are congruent” is a property of rhombuses.
• One of the key properties that distinguishes a rectangle (a special type of parallelogram) from other parallelograms is that in a rectangle, the diagonals are congruent.

Answer:

The diagonals are congruent.