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Published byAntonia Hensley Modified over 6 years ago
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Good definitions are important in geometry (and almost every area)
Good definitions are important in geometry (and almost every area) It’s important that everyone understands what you’re talking about.
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A good definition should: . Use clear, easily. understood terms.
A good definition should: Use clear, easily understood terms. Be precise. Be reversible.
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To make definitions reversible, we typically use biconditionals.
To make definitions reversible, we typically use biconditionals. Uses the phrase if and only if Symbols , , or iff. A B means A B and B A
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A ray is an angle bisector if and only if it divides an angle into two congruent angles Write this as two if/then statements.
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This means … If a ray is an angle bisector, then it divides an angle into 2 congruent angles. If it divides an angle into 2 congruent angles, then a ray is an angle bisector.
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You can write a biconditional if a statement and its converse are both true. This is why definitions are typically written as biconditionals.
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Consider this example: A candy is an M&M if and only if it melts in your mouth but not in your hands.
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. Is this statement true. . Is it a good definition of an. M&M.
Is this statement true? Is it a good definition of an M&M? Why or why not?
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What could be a good definition of Bishop Garrigan High School?
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REMEMBER biconditional (if and only if) characteristics of a good definition
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