Question

1. which answer choice is a counterexample that proves the statement shown is false? \all quadrilaterals with four right angles have congruent sides.\

Explanation:

Step1: Analyze the properties of each shape

• A circle is not a quadrilateral.
• A square has four right angles and four congruent sides.
• A rhombus has four congruent sides but not necessarily right angles.
• A rectangle has four right angles but not necessarily four congruent sides.

Step2: Determine the counter - example

The statement is “All quadrilaterals with four right angles have congruent sides”. A rectangle is a quadrilateral with four right angles, but its adjacent sides are not necessarily congruent (e.g., a rectangle with length \(l = 5\) and width \(w=3\)).

Answer:

Rectangle