Question

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 1

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:

Did this on Edge2020 :) Hope this helps!

Answer 2

Biconditionals are statements that work both ways.

Some examples:

If it rains, I go out, and if I go out, it must be raining.

This can be stated concisely in mathematical terms as

I go out IF AND ONLY IF it rains.

So looking at the given statements, only the last two work both ways, namely:

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.