1. The original conditional statement is: "If a polygon is a square, then it is a rectangle." 2. The converse of a conditional statement switches the hypothesis and conclusion. So, the converse is: "If a polygon is a rectangle, then it is a square." 3. Now, let's analyze the truth of the converse. 4. A square is a special type of rectangle, but not all rectangles are squares. Therefore, the converse statement "If a polygon is a rectangle, then it is a square" is false. 5. Among the options, the converse statement is given in options B and D: "If a polygon is a rectangle, then it is a square." 6. Option B says this converse is false, which is correct. Option D says it is true, which is incorrect. 7. Therefore, the correct answer is option B: "If a polygon is a rectangle, then it is a square; false."