Question

for each of the following quadrilaterals, select all the properties that must be true.

	two pairs of parallel sides	only one pair of parallel sides	four right angles	all sides congruent
(b) parallelogram
(c) trapezoid

Explanation:

Step1: Recall square properties

A square has two pairs of parallel sides, four right - angles, and all sides congruent.

Step2: Recall parallelogram properties

A parallelogram has two pairs of parallel sides, but not necessarily four right - angles or all sides congruent.

Step3: Recall trapezoid properties

A trapezoid has only one pair of parallel sides, and not necessarily four right - angles or all sides congruent.

Answer:

(a) Square: Two pairs of parallel sides $\boxed{\text{√}}$, Only one pair of parallel sides $\boxed{\text{×}}$, Four right angles $\boxed{\text{√}}$, All sides congruent $\boxed{\text{√}}$
(b) Parallelogram: Two pairs of parallel sides $\boxed{\text{√}}$, Only one pair of parallel sides $\boxed{\text{×}}$, Four right angles $\boxed{\text{×}}$, All sides congruent $\boxed{\text{×}}$
(c) Trapezoid: Two pairs of parallel sides $\boxed{\text{×}}$, Only one pair of parallel sides $\boxed{\text{√}}$, Four right angles $\boxed{\text{×}}$, All sides congruent $\boxed{\text{×}}$