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25 Cards in this Set
- Front
- Back
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parallel lines
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coplanar lines that do not intersect
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parallel planesq
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planes that do not intersect
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skew lines
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lines that are not coplanar and do not intersect
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transversal
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a line that intersect 2 or more lines
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exterior angles
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interior angles
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consecutive interior angles
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alternate exterior angles
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corresponding angles
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Corresponding Angles Postulate
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If two parallel lines are cut by a transversal, then each pair 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 each pair of alternate interior angles are congruent.
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Consecutive Interior Angles Theorem
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If two parallel lines are cut by a transversal, then each pair of consecutive interior angles are supplementary.
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Perpendicular Transversal Theorem
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In a plane, if a line is perpendicular to one of two parallel lines, then it is parallel to the other.
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slope
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slope and parallel lines
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Two nonvertical lines have the same slope if and only if they are parallel.
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slope and perpendicular lines
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Two nonvertical lines are perpendicular if and only if the product of the slopes is -1.
Flip-Flop: "Flip the fraction & flop the sign" |
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Converse of the Corresponding Angles Postulate
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If two lines in a plane are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
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Converse of the Alternate Exterior Angles Theorem
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If two lines in a plane are cut by a transveral so that a pair of alternate exterior angles are congruent, then the lines are parallel.
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Converse of the Consecutive Interior Angles Theorem
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If two lines in a plane are cut by a transveral so that a pair of consecutive interior angles are congruent, then the lines are parallel.
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Converse of the Alternate Interior Angles Theorem
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If two lines in a plane are cut by a transveral so that a pair of alternate interior angles are congruent, then the lines are parallel.
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If given a line and a point on the line, then...
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...there exists exactly one line through the point that is parallel to the given line.
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distance from a line to a point not on the line
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the length of the segment perpendicular to the line from the point
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parallel lines
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two lines which are everywhere equidistant
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distance between two parallel lines
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the distance between one the lines and any point on the other line.
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In a line, if two lines are equidistant from a third line, then...
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...the two lines are parallel to each other.
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