Question

for each of the following quadrilaterals, select all the properties that must be true. (a) trapezoid (b) rectangle (c) parallelogram four right angles only one pair of parallel sides two pairs of parallel sides all sides congruent

Explanation:

Step1: Recall trapezoid properties

A trapezoid has only one pair of parallel sides. It does not have four right - angles, two pairs of parallel sides or all sides congruent.

Step2: Recall rectangle properties

A rectangle has four right - angles and two pairs of parallel sides. It does not have only one pair of parallel sides or all sides congruent.

Step3: Recall parallelogram properties

A parallelogram has two pairs of parallel sides. It does not have four right - angles (except when it is a rectangle), only one pair of parallel sides or all sides congruent (except when it is a rhombus).

Answer:

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