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colaner and do not intersect . |
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not coplanar and do not intersect |
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line that intersects two or more coplanar lines at different points |
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occupy corresponding positions |
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lie outside the two lines on opposite sides of the transversal |
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Alternate Interior Angles |
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lie between the two lines on opposite sides of the transversal |
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Consecutive Interior Angles |
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lie between the two lines on the same side of the transversal . |
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Same Side Interior Angles |
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consecutive interior angles are sometimes called same side interior angles |
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If two lines intersect to form a linear pair of congruent angles then the lines are perpendicular |
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If two lines are perpendicular then they intersect to form 4 right angles |
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Postulate 15: Corresponding Angles
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if two parallel lines are cut by a transversal then the pairs of congruent angles are congruent |
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Theorem 3.4 Alternate Interior Angles |
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if two parallel lines are cut by a transversal then the pairs of consecutive interior angles are supplementary |
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Theorem 3.5: Consecutive Interior Angles
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if two parallel lines are cut by a transversal then the pairs of consecutive interior angles are supplementary |
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Theorem 3.6: Alternate Exterior Angles |
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if two parallel lines are cut by a transversal then the pairs of alternate exterior angles are congruent |
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Theorem 3.7: Perpendicular Transversal |
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if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other |
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