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

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(a) rhombus

$square$

$square$

$square$

$square$

(b) parallelogram

$square$

$square$

$square$

$square$

(c) square

$square$

$square$

$square$

$square$

Explanation:

1. Rhombus: By definition, it has all sides equal and two pairs of parallel sides; it does not have only one pair of parallel sides or necessarily four right angles.
2. Parallelogram: Defined as having two pairs of parallel sides; it does not require all sides congruent, only one pair of parallel sides, or four right angles.
3. Square: A special quadrilateral that has all sides congruent, two pairs of parallel sides, and four right angles; it does not have only one pair of parallel sides.

Answer:

Quadrilateral	All sides congruent	Two pairs of parallel sides	Only one pair of parallel sides	Four right angles
(b) Parallelogram	❌	✅	❌	❌
(c) Square	✅	✅	❌	✅