Question

A quadrilateral has all sides congruent, opposite sides are parallel, and opposite angles are congruent.

A) rectangle
B) square
C) parallelogram
D) rhombus
E) none of the above

Answer 1

B: A square

Explanation:

Let's use the process of elimination:

We know that each shape here has opposite parallel sides so there's not much we can do about that one.

All sides congruent automatically gets rid of A.) Rectangle and C.) Parallelogram because they do not always have congruent sides

Opposite angles are congruent gets rid of D.) Rhombus. Although a rhombus can have all congruent angles, it isn't always congruent the way a square is. The definition of a rhombus is a quadrilateral with equal side lengths. Not angles.

So the only shape that meets each criteria all the time is a square.