Question

eoc prep: check for understanding
johanna makes the following claim: \if a polygon is a quadrilateral, then two pairs of opposite sides are congruent.\
which polygon is a counterexample to johannas claim?

Explanation:

Step1: Recall quadrilateral properties

A quadrilateral is a 4 - sided polygon. We need to find a 4 - sided shape where opposite sides are not congruent.

Step2: Analyze each option

The first three options (rectangle, rhombus, parallelogram) have two pairs of opposite sides congruent. The fourth option (a non - symmetric quadrilateral) is a counter - example as it is a quadrilateral but does not have two pairs of opposite sides congruent.

Answer:

The non - symmetric quadrilateral (the fourth polygon in the image)