Question

which of the following is a counterexample for this conditional statement? if a polygon has more than four sides, then it is a pentagon. a rhombus a triangle a hexagon a parallelogram

Explanation:

Step1: Analyze the conditional statement

The statement is "If a polygon has more than four sides, then it is a pentagon". A counter - example should be a polygon with more than four sides that is not a pentagon.

Step2: Check each option

• A rhombus has 4 sides, so it doesn't meet the "more than four sides" condition.
• A triangle has 3 sides, so it doesn't meet the "more than four sides" condition.
• A hexagon has 6 sides. It has more than four sides but is not a pentagon, so it is a counter - example.
• A parallelogram has 4 sides, so it doesn't meet the "more than four sides" condition.

Answer:

C. a hexagon