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eoc pre - check for understanding johanna makes the following claim: \i…

Question

eoc pre - 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 counter - example to johannas claim?

Explanation:

Step1: Understand the claim

Johanna claims all quadrilaterals have two - pairs of congruent opposite sides.

Step2: Analyze quadrilateral types

A general quadrilateral doesn't have this property. A trapezoid (the non - isosceles one) is a quadrilateral that can be a counter - example. Among the given options, the non - symmetric quadrilateral (the last one in the image which is a non - isosceles trapezoid or a general non - parallel - sided quadrilateral) does not have two pairs of congruent opposite sides.

Answer:

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