Question

which of the following is a property of all rectangles?
a opposite sides are congruent.
b the diagonals are perpendicular.
c the diagonals bisect the vertex angles.
d only one pair of opposite sides is parallel.

Explanation:

Step1: Recall rectangle properties

A rectangle is a parallelogram. In a parallelogram (and thus in a rectangle), opposite sides are congruent.

Step2: Analyze other options

• For option B: Diagonals are perpendicular in a rhombus (and square, which is a special rhombus), not in all rectangles.
• For option C: Diagonals bisect vertex angles in a rhombus (and square), not in all rectangles.
• For option D: In a rectangle (as a parallelogram), both pairs of opposite sides are parallel.

Answer:

A. Opposite sides are congruent.