What will be the converse statement of this statement:"If a polygon is a quadrilateral, then it is a trapezoid."

Understanding Converse Statements

The converse of a statement takes the form "If P, then Q" and flips it to "If Q, then P." For the given statement "If a polygon is a quadrilateral, then it is a trapezoid," we can identify the following components:

1. Original Statement (If P, then Q):

   • P: A polygon is a quadrilateral.
   • Q: It is a trapezoid.

2. Converse Statement:

   • Q becomes the hypothesis, and P becomes the conclusion.

Formulating the Converse Statement

3. Converse Statement Structure:
   • "If it is a trapezoid, then a polygon is a quadrilateral."

Final Answer

The converse statement of "If a polygon is a quadrilateral, then it is a trapezoid" is: "If it is a trapezoid, then it is a polygon that is a quadrilateral."