Question

which shape is a counterexample to the following statement? all quadrilaterals with four congruent sides are squares
a. rectangle
b. trapezoid
c. parallelogram
d. rhombus

Explanation:

Step1: Recall definitions

A square has four congruent sides and four right - angles. We need a quadrilateral with four congruent sides but not all right - angles.

Step2: Analyze each option

A rectangle has four right - angles but not all sides are congruent (except for the special case of a square). A trapezoid does not have four congruent sides. A parallelogram does not necessarily have four congruent sides. A rhombus has four congruent sides but its angles are not necessarily right - angles.

Answer:

D. rhombus