# Geometry

Can the Isosceles Triangle Theorem be written as a biconditional? If yes, rewrite it as one, if no, explain why not.

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1. If both a statement and its converse are true, it is a biconditional.

1. If all three angles of a triangle are equal, then all three sides are equal (equilateral).
True

2. If all three sides of a triangle are equal, then all three angles are equal.
True

Sure looks biconditional to me.

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posted by Damon
2. Thanks! I've been working on that problem like.. all morning.

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posted by Tasha
3. An expression of biconditional in this case:

A triangle is equilateral if and only if all three angles are equal.

(The word "equilateral" means "equal sides".)

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posted by Damon

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