Question

write a true conditional and write a true converse that has a false conditional converse. choose the correct answer below. a. if a polygon is a pentagon, then it is a closed figure with exactly five sides. b. if it is raining, then there are clouds in the sky. c. if it is monday, then it is a school day. d. if set a and set b are in set c, then set a is in set c.

Explanation:

A conditional statement has the form "if p, then q" and its converse has the form "if q, then p". For option A, the conditional "If a polygon is a pentagon, then it is a closed - figure with exactly five sides" is true, and its converse "If a closed - figure has exactly five sides, then it is a pentagon" is also true. In option B, the converse of "If it is raining, then there are clouds in the sky" (If there are clouds in the sky, then it is raining) is false as there can be clouds without rain. In option C, the converse of "If it is Monday, then it is a school day" (If it is a school day, then it is Monday) is false as school days can be other weekdays too. In option D, the converse of set - related statements may not hold true in all cases.

Answer:

A. If a polygon is a pentagon, then it is a closed figure with exactly five sides.