Term
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Definition
| If there is a line and a point not on the line, then there is exacltly one line through the point parallel to the given line. |
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Term
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Definition
| If there is a line and a point not on the line, then there is exactly one line throught the point perpendicular to the given line. |
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Term
| If two lines intersect to form a linear pair of congruent angles, |
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Definition
| then the lines are perpendicular |
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Term
| If two sides of two adjacent acute angles are perpendicular, |
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Definition
| then the angles are complementary. |
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Term
| If two lines are perpendicular, |
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Definition
| then they intersect to form four right angles. |
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Term
| Corresponding Angles Postulate |
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Definition
| If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. |
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Term
| Alternate Interior Angles Theorem |
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Definition
| If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. |
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Term
| Consecutive Interior Angles |
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Definition
| If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. |
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Term
| Alternate Exterior Angles |
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Definition
| If two parallel lines are cut by a transeversal, then the pairs of alternate exterior angles are congruent. |
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Term
| Perpendicular Transversal |
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Definition
| If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
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Term
| Corresponding Angles Converse Postulate |
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Definition
| If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. |
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Term
| Alternate Interior Angles Converse |
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Definition
| If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. |
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Term
| Consecutive Interior Angles Converse |
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Definition
| If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel. |
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Term
| Alternate Exterior Angles Converse |
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Definition
| If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel. |
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Term
| If two lines are parallel to the same line, |
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Definition
| then they are parallel to each other. |
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Term
| In a plane, if two lines are perpendicular to the same line, |
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Definition
| then they are parallel to each other. |
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