Question

always, sometimes, or never?
the diagonals of a rectangle are congruent.
select one:
a. always
b. never
c. sometimes

Explanation:

Analyze the geometric properties of a rectangle

$$ \text{Rectangle } ABCD \implies \angle A = \angle B = \angle C = \angle D = 90^\circ $$

$$ AB = CD, \quad AD = BC $$

Compare the lengths of the diagonals

$$ \triangle ABC \cong \triangle BAD \quad (\text{by SAS Congruence Theorem}) $$

$$ AC = BD $$

Answer:

• a. Always (Correct answer)
• b. Never
• c. Sometimes