Question

3 select the diagonal characteristic(s) that apply to a rectangle. a diagonals are perpendicular b diagonals bisect c diagonals are congruent

Explanation:

• For option A: In a rectangle, diagonals are not perpendicular (that's a property of a rhombus or square).
• For option B: In a rectangle, the diagonals bisect each other. This is a property of parallelograms (and a rectangle is a type of parallelogram), so the diagonals intersect at their midpoints, meaning they bisect each other.
• For option C: In a rectangle, the diagonals are congruent (equal in length). This can be proven using the Pythagorean theorem in the right triangles formed by the diagonals (since all angles in a rectangle are right angles), where the length of each diagonal is $\sqrt{l^{2}+w^{2}}$ for a rectangle with length $l$ and width $w$, so both diagonals have the same length.

Answer:

B. Diagonals bisect, C. Diagonals are congruent