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8 Cards in this Set
- Front
- Back
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ITT
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If two sides of a triangle are equal, then the angles opposite them are equal.
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Definition of Greater Than
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a > b if a = b + c
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Reasons for greater than (3)
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Angle addition, definition of between, exterior angle theorem
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Indirect Proofs- 3 words
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Assume, but, therefore
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Inequalities in triangles: if... then and converse
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If sides of a triangle are unequal, then the angles will be unequal in the same order
If the angles in a triangle are unequal, then the sides will be unequal in the same order |
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The sum of any two sides in a triangle must be...
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Greater than the third side
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Hinge Theorem
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In two triangles, if two sides of a triangle are congruent to corresponding sides of the second and the included angles are not equal, then the third sides are not equal in the same order.
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Converse of Hinge Theorem
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In two triangles, if the third sides are unequal, then the included angles will be unequal in the same order
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