Question

five quadrilaterals, labeled a through e, are shown below. which of these quadrilaterals are counterexamples to the conditional statement below? choose all that apply. if a quadrilateral has exactly one pair of pair of parallel sides, then it is a rectangle. a b c d e

Explanation:

Step1: Analyze properties of rectangle

A rectangle has two pairs of parallel sides and four right - angles.

Step2: Analyze each quadrilateral

• Quadrilateral A: It is a square (a special rectangle), has two pairs of parallel sides, not a counter - example.
• Quadrilateral B: It has no parallel sides, not relevant to the condition in the statement.
• Quadrilateral C: It has exactly one pair of parallel sides and is not a rectangle, so it is a counter - example.
• Quadrilateral D: It is a rectangle, has two pairs of parallel sides, not a counter - example.
• Quadrilateral E: It has two pairs of parallel sides, not a counter - example.

Answer:

C