Question

which of the following is a property of all squares?
a opposite vertex angles are not congruent.
b opposite sides are not congruent.
c no sides are parallel.
d the diagonals bisect each other.

Explanation:

Step1: Analyze Option A

In a square, all angles are \(90^{\circ}\), so opposite vertex angles are congruent. Option A is incorrect.

Step2: Analyze Option B

A square has all four sides equal. So, opposite sides are congruent. Option B is incorrect.

Step3: Analyze Option C

A square is a parallelogram - opposite sides are parallel. Option C is incorrect.

Step4: Analyze Option D

By the property of a square (and parallelograms in general), the diagonals bisect each other. Option D is correct.

Answer:

D. The diagonals bisect each other.