Term
| ExteriorAngle Ineqaulity Theorem (6.1) |
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Definition
| The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle |
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Term
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Definition
| If one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side |
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Term
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Definition
| If one angle of a triangle is alrger than a second angle, then the side opposite the first angle is longer than the side opposite the second angle |
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Term
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Definition
| The perpendicular segment form a point to a line is the shortest segment from the point to the line |
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Term
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Definition
| The perpendicular segment from a point to a plane is the shortest segment from the point to the plane |
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Term
| The Triangle Inequality Theorem (6.4) |
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Definition
| The sum of the length of any two sides of a triangle is greater than the length of the third side |
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Term
| SAS Inequality Theorem (6.5) |
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Definition
| If two sides of one triangle 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 third side of the second triangle |
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Term
| SSS Inequality Teorem (6.6) |
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Definition
| If two sides of one triangle are congruent to two sides of antoher triangle, but the third side of the first triangle is larger than the included angle of the second triangle |
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Term
| Conditional if-then statement |
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Definition
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Term
| Inverse if-then statement |
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Definition
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Term
| Converse if-then statement |
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Definition
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Term
| Contrapositive if-then statements |
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Definition
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Term
| Logically Equivalent Statements |
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Definition
| Statements that are either both true or both false |
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Term
| Example of logically equivalent statements |
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Definition
A statement and its contrapostivie are logically equivalent.
A statement's converse and inverse are logically equivalent.
A statement and its converse or inverse are not logically equivalent. |
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Term
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Definition
| To write an indirect proof, assume temporarily that the conclusion is not true. Reason logically until you contradict a known fact. Then, note the temporary assumption is false, so the conclusion must be true. |
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Term
| Addition property of inequality |
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Definition
| if a>b and c> or less than d then a+c> b+d |
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