Which statements are biconditional? Check all that apply.All triangles and rectangles are polygons.Sam bakes cookies or he bakes bread.If it is fashionable, then this store sells it.If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.Victoria will play outside if and only if the weather is nice.
Answer
A
All triangles and rectangles are polygons.
B
Sam bakes cookies or he bakes bread.
C
If it is fashionable, then this store sells it.
D
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
E
Victoria will play outside if and only if the weather is nice.
Explanation
A biconditional states that both directions are true: if one condition holds, the other holds, and vice versa. Choice D gives both directions explicitly: if the sun rises in the east, it is morning, and if it is morning, the sun rises in the east. Choice E uses “if and only if,” which directly expresses a biconditional. The other choices state a conjunction, a disjunction, or a one-way conditional.
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