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Congruent Supplements Theorem |
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Definition
If 2 angles are supplementary to the same angle or to congruent angles, then they are congruent to each other. |
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Definition
Vertical angles are congruent. |
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Right Angle Congruence Theorem |
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Definition
All right angles are congruent. |
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Definition
If a = b, then a + c = b + c |
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Definition
If two angles form a linear pair, then they are supplementary. |
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Definition
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. |
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Definition
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. |
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Definition
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. |
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Definition
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. and the overall angle is a right angle. |
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Definition
If two lines are perpendicular, then they intersect to form four right angles. |
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Definition of Vertical Angles |
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Definition
Two angles whose sides form two pairs of opposite rays. |
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Definition of Right Angles |
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Definition
An angle with a measure of 90 degrees |
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Alternate Interior Angles Theorem
(basically same for consecutive. corresponding...etc) |
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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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Perpendicular Transversal |
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Definition
If a transversal is perpendicular to oneof two parallel lines, then it is perpendicular to the other. |
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Alternate Interior Angles CONVERSE |
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Definition
If two lines are cut by a transversal so that the alternate interior angles are congruent, then the two lines are parallel. |
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Definition
If two lines are parallel to the same line, they are parallel to each other. |
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Definition
In a plane, if two lines are perpendicular to the same line, then the two lines are PARALLEL to each other. |
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Slopes of Perpendicular Lines Postulate |
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Definition
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Vertical and horizontal lines are perpendicular. |
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