Question

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

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

Explanation:

Step1: Recall parallelogram properties

A parallelogram has two pairs of parallel sides. Its sides are not all congruent, it doesn't have only one - pair of parallel sides, and it doesn't necessarily have four right - angles.

Step2: Recall rectangle properties

A rectangle has two pairs of parallel sides and four right - angles. Its sides are not all congruent and it doesn't have only one pair of parallel sides.

Step3: Recall trapezoid properties

A trapezoid has only one pair of parallel sides. Its sides are not all congruent, it doesn't have two pairs of parallel sides, and it doesn't necessarily have four right - angles.

Answer:

(a) Two pairs of parallel sides
(b) Two pairs of parallel sides, Four right angles
(c) Only one pair of parallel sides