Question

is the statement true or false? if a quadrilateral has four sides, then it is a square. false which option is a counterexample? pentagon rectangle

Explanation:

Step1: Analyze the definition of a counter - example

A counter - example is a case that shows a statement is false. The statement is “If a quadrilateral has four sides, then it is a square”.

Step2: Analyze the properties of each option

• A pentagon has five sides. It is not a quadrilateral, so it cannot be a counter - example for a statement about quadrilaterals.
• A rectangle is a quadrilateral (has four sides) but is not a square (a square has all sides equal and all angles equal to \(90^{\circ}\), while a rectangle has all angles equal to \(90^{\circ}\) but adjacent sides may not be equal). So, a rectangle is a counter - example.

Answer:

B. Rectangle