Question

write the two conditional statements that form the following biconditional statement. a polygon is called an octagon if and only if the polygon has eight sides. what are the two conditional statements that form the given biconditional statement? select all that apply. a. if a polygon is called octagon, then the polygon does not have eight sides. b. if a polygon does not have eight sides, then the polygon is called octagon. c. if a polygon has eight sides, then the polygon is called octagon. d. if a polygon is called octagon, then the polygon has eight sides.

Explanation:

A biconditional statement "p if and only if q" is equivalent to two conditional statements: "if p then q" and "if q then p". Here, p is "A polygon is called an octagon" and q is "The polygon has eight sides". So the two conditional statements are "If a polygon has eight sides, then the polygon is called an octagon" and "If a polygon is called an octagon, then the polygon has eight sides".

Answer:

C. If a polygon has eight sides, then the polygon is called octagon
D. If a polygon is called octagon, then the polygon has eight sides