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19 Cards in this Set
- Front
- Back
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Parallel Planes
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Two planes are parallel if and only if they never meet.
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Parallel Lines
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Two lines in the same plane are parallel if and only if they never meet.
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Postulate 13 Parallel Postulate
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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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Postulate 14 Perpendicular Postulate
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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
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A line that intersects two or more coplanar at lines at different points.
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Corresponding Angles
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Two angles are corresponding if they have corresponding positions.
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Alternate Interior Angles
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Two angles are alternate interior angles if they lie between the two lines on the opposite sides of the transversal.
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Alternate Exterior Angles
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Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal.
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Consecutive Interior Angles
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Two angles are consecutive interior angles if they lie between the two lines and on the same side of the transversal,
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Corresponding Angles Postulate
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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
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If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
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Alternate Exterior Angles Theorem
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If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
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Consecutive Interior Angles Theorem
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Consecutive interior angles are supplementary.
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Corresponding Angles Converse
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If two lines are cut by a transversal so the corresponding angles are congruent, then the line date parallel.
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Alternate Interior Angle Converse
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If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
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Alternate Exterior Angles Converse
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If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
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Consecutive Interior Angles Converse
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If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.
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Paragraph Proof
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The statements and reasons are written as sentences to explain the argument.
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Transitive Property of Parallel Lines
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If two lines are parallel to the same line, then they are parallel to each other.
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