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| is the endpoint of the rays that form an angle |
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| negates both the hypothesis and the conclusion of the converse |
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| is represented by a flat surface that extends without end and has no thickness |
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| is formed by two rays with the same endpoint |
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| exchanges the hypothesis and the conclusion |
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| the opposite of the statement |
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| is an accepted statement of fact |
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| an example that shows that a conjecture is incorrect |
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Definition
| two angles whose sides are opposite rays |
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| the real number that corresponds to a point |
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Definition
| have the same truth value |
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Definition
| is part of a line that consists of one endpoint and all the points of the line on one side of the endpoint |
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Definition
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Definition
| a pair of adjacent angles whose noncommon sides are opposite rays. |
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| points that are on the same line |
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| two angles whose measures have a sum of 180. |
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| is represented by a straight path of points that extends in two opposite directions without end and has no thickness |
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| two coplanar angles with a common side, a common vertex , and no common interior points. |
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| a conclusion you reach using inductive reasoning |
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| reasoning based on patterns you observe |
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Definition
| is part of the line that consists of two endpoints and all the points between them |
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Definition
| negates both the hypothesis and conclusion of the conditional |
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Definition
| indicates a location and has no size |
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Term
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Definition
| lists each statement on the left. The justification, or the reason for each statement, is on the right. |
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Definition
| a line that you add to a diagram to help explain relationships in proofs |
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Definition
| noncoplanar; they are not parallel and do not intersect |
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Definition
| a single true statement that combines a true conditional and its true converse. |
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Definition
| the process of reasoning logically from given statements or facts to a conclusion. |
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Definition
| lie on the same side of the transversal t and in corresponding positions |
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Term
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Definition
| planes that do not intersect |
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Term
| same-side interior angles |
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Definition
| interior angles that lie on the same side of the transversal |
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Term
| alternate interior angles |
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Definition
| nonadjacent interior angles that lie on opposite sides of the transversal |
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Definition
| a convincing argument that uses deductive reasoning. |
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Definition
| coplanar lines that do not intersect |
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| alternate exterior angles |
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Definition
| nonadjacent exterior angles that lie on opposite sides of the transversal |
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Definition
| a line that intersects two or more coplanar lines at distinct points |
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Term
| exterior angle of a polygon |
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Definition
| an angle formed by a side and an extension of an adjacent side |
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Term
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Definition
| allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement. |
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