The problem is about identifying a counterexample to the given conditional statement:

Conditional Statement: "If a polygon has four right angles, then it is either a rectangle or a square."

Analysis:

• A counterexample disproves a statement by providing an instance where the hypothesis is true, but the conclusion is false.

Options:

• Option A: This polygon has four right angles but does not have opposite sides that are equal or parallel. Therefore, it is neither a rectangle nor a square.

• Option B: This polygon has four right angles and also has equal opposite sides, making it a rectangle.

Conclusion:

• Option A is the counterexample because it shows a shape with four right angles that is neither a rectangle nor a square.

Would you like more details or have any other questions? Here are some related questions:

1. What is a conditional statement in geometry?
2. How can you identify a counterexample in geometric conditions?
3. Why are rectangles and squares the only quadrilaterals with four right angles?
4. What are the key properties that differentiate rectangles from other polygons?
5. Can a polygon with four right angles exist in other forms apart from rectangles or squares?

Tip: Always verify both the hypothesis and conclusion when evaluating a conditional statement to check for counterexamples.