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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asked by Tasha
  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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