Question

given the conditional statement below write the following. if a polygon has four sides, then the polygon is a rectangle. 6. write the converse of the statement. 7. write the inverse of this statement.

Explanation:

Step1: Recall definition of converse

For a conditional statement "If p, then q", the converse is "If q, then p". Here p = "a polygon has four sides" and q = "the polygon is a rectangle".

Step2: Write the converse

If a polygon is a rectangle, then the polygon has four sides.

Step3: Recall definition of inverse

For a conditional statement "If p, then q", the inverse is "If not p, then not q".

Step4: Write the inverse

If a polygon does not have four sides, then the polygon is not a rectangle.

Answer:

Converse: If a polygon is a rectangle, then the polygon has four sides.
Inverse: If a polygon does not have four sides, then the polygon is not a rectangle.