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13 Cards in this Set
- Front
- Back
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Theorem 12: The Exterior Angle Theorem
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An exterior angle of a triangle is greater than either remote interior angle.
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Theorem 13
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If two sides of a triangle are unequal, the angles opposite them are unequal in the same order.
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Theorem 14
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If two angles of a triangle are unequal, the sides opposite them are unequal in the same order.
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Theorem 15: The Triangle Inequality Theorem
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The sum of any two sides of a triangle is greater than the third side.
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The Addition Property of Inequality
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If a>b, then a+c>b+c
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The Multiplication Property of Inequality
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If a>b and c>0, then ac>bc
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The Subtraction Property of Inequality
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If a>b, then a-c>b-c
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The Division Property of Inequality
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If a>b and c>0, then a/c> b/c
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Exterior angle of a triangle
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An exterior angle of a triangle is an angle that forms a linear pair with an angle of the triangle.
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"Three Possibilities" property
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Either a>b, a=b, a<b
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Transitive Property
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If a>b and b>c, then a>c
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"Whole greater then part" theorem
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If a>0, b>0, and a+b=c, then c>a and c>b
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The Addition Theorem of Inequality
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If a>b and c>d, then a+c>b+d
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