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9 Cards in this Set
- Front
- Back
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Exterior Angle Inequality Theorem
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The measure of anexterior angle of a triangle is greater than the measure of either remote interior angle
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How to write Indirect Proof
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1. Assume conclusion isnot true
2. Reason until you reach a contradiction of a known fact 3. Point out the assumption must be false |
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Theorem 6-2 (3 Bears Theorem)
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If one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposte the second side
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Theorem 6-3
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If one angle of a triangle is larger than a second angle, then the side opposite the first angle is longer thanthe side opposite the second angle.
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Corollary 1
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The perpendicular segment from a point to a line is the shortest segment from the point to the line
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Corollary 2
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The perpendicular segment from a point to a plane is the shortest segment from the point to the plane
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The Triangle Inequality
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side
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SAS Inequality Theorem
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If two sides of one trianlge are congruent to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second, then the third side of the first triangle is longer than the thrid side of the second triangle
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SSS Inequality Theorem
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If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer thanthe third side of the second, then the included angle of the first triangle is larger than the included angle of the second
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