Question

a b c d parallelogram rectangle rhombus trapezoid the diagonals of a are always congruent.

Explanation:

Step1: Recall properties of each figure

• Parallelogram: Diagonals bisect each other but are not always congruent.
• Rhombus: Diagonals are perpendicular bisectors of each other but not always congruent.
• Trapezoid: Diagonals are not necessarily congruent (except for isosceles trapezoid, but not always).
• Rectangle: By definition, in a rectangle, the diagonals are always congruent. Using the Pythagorean theorem in two right - angled triangles formed by the sides of the rectangle and the diagonals (e.g., if length \(l\) and width \(w\), diagonal \(d=\sqrt{l^{2}+w^{2}}\) for both diagonals).

Answer:

B. rectangle