Term
| Line Intersection Theorem |
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Definition
| Two different lines intersect in at most one point |
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Term
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Definition
| If two angles form a linear pair, then they are supplementary |
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Term
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Definition
| If two angles are vertical angles, then they have equal measure |
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Term
| Parallel Lines and Slopes Theorem |
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Definition
| Two nonvertical lines are parallel if and only if they have the same slope |
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Term
| Transitivity of Parallelism Theorem |
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Definition
| In a plane, if l // m and m // n, then l // n. |
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Term
| Two Perpendicular Theorem |
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Definition
| If two coplanar lines l and m are each perpendicular to the same line, then they are parallel to each other. |
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Term
| Perpendicular to Parallels Theorem |
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Definition
| In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other |
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Term
| Perpendicular Lines and Slopes Theorem |
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Definition
| Two nonvertical lines are perpendicular if and only if the product of their slopes is -1. |
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Term
| Figure Reflection Theorem |
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Definition
| If a figure is determined by certain points, then its reflection image is the corresponding figure determined by the reflection images of those points. |
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Term
| Two Reflection Theorem for Translations |
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Definition
| If m // l, the translation [image] has magnitude two times the distance between l and m, in the direction from l perpendicular to m |
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Term
| Two Reflection Theorem for Rotations |
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Definition
| If m intersects l, the rotation [image] has center at the point of intersection of m and l and has magnitude twice the measure of the non-obtuse angle formed by these lines, in the direction from l to m |
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