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 two congruent sides, then it is a parallelogram.

Explanation:

Step1: Recall parallelogram properties

A parallelogram has two - pairs of parallel and congruent sides.

Step2: Analyze each quadrilateral

• Quadrilateral A: It is a square (a special parallelogram), all sides are congruent, not a counter - example.
• Quadrilateral B: It has two congruent adjacent sides but is not a parallelogram, so it is a counter - example.
• Quadrilateral C: It is a trapezoid, may have two congruent non - parallel sides and is not a parallelogram, so it is a counter - example.
• Quadrilateral D: It is a rectangle (a special parallelogram), opposite sides are congruent, not a counter - example.
• Quadrilateral E: It is a parallelogram, not a counter - example.

Answer:

B. Quadrilateral B, C. Quadrilateral C