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21 Cards in this Set
- Front
- Back
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Skew Lines |
Lines that do not intersect and are not coplanar |
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Parallel Postulate |
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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Perpendicular Postulate |
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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Transversal |
A line that intersects two or more coplanar lines at different points |
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Corresponding angles |
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Alternate Exterior |
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Alternate Interior |
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Consecutive Interior Angles |
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Perpendicular Lines Theorem |
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular If two sides of two adjacent angles are perpendicular, then the angles are complementary If two lines are perpendicular, then they intersect to form four right angles |
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Corresponding Angles Postulate |
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent |
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Alternate interior angles theorem |
If two parallel lines are cut by transversal then the pairs of alternate interior angles are congruent |
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Consecutive Interior Angles theorem |
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary |
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Alternate Exterior Angles Theorem |
If two parallel lines are cut by a transversal , then the pairs of alternate exterior angles are congruent |
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Perpendicular Transversal |
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the others |
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Corresponding Angles Converse Postulate |
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel |
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Alternate interior angles converse |
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel |
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Consecutive Interior Angles Converse |
If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel |
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Alternate Exterior Angles Converse |
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel |
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Parallel Lines theorems |
If two lines are parallel to the same line then they are parallel to eachother In a plane, if two lines are perpendicular to the same line, then they are parallel to eachother |
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Slope formulas y2-y1/x2-x1 |
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Slopes of perpendicular lines postulate |
In a coordinate plane, two non vertical lines are perpendicular if and only if the product of their slope is -1 vertical and horizontal lines are perpindicular |
