Mrs. Flood Vocab Chapter 3
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Last updated 8:37 PM on 9/25/22
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26 Terms
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parallel lines
Coplanar lines that do not intersect.
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skew lines
Lines that do not intersect and are not coplanar.
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parallel planes
Two planes that do not intersect.
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transversal
A line that intersects two coplanar lines at two distinct points.
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corresponding angles
Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
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alternate interior angles
Angles that lie within a pair of lines and on opposite sides of a transversal.
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alternate exterior angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
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consecutive interior angles
Angles that lie within a pair of lines and are on the same side of the transversal.
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distance from a point to a line
The length of the perpendicular segment from the point to the line.
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perpendicular bisector
A line that is perpendicular to a segment at its midpoint.
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Linear Pair Perpendicular Theorem
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
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Perpendicular Transversal Theorem
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
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Lines Perpendicular to a Transversal Theorem
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
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Slopes of Parallel Lines
In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
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Slopes of Perpendicular Lines
In a coordinate plane, two non-vertical lines are perpendicular if and only if the product of their slopes is -1. Any horizontal line and vertical line are perpendicular.
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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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Corresponding Angles Theorem
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 a transversal, then the pairs of alternate interior angles are congruent.
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Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
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Consecutive Interior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.
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Corresponding Angles Converse
If two lines are cut by a transversal and 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 and alternate interior angles are congruent, then the lines are parallel.
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Alternate Exterior Angles Converse
If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel.
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Consecutive Interior Angles Converse
If two lines are cut by a transversal and consecutive interior angles are congruent, then the lines are parallel.
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Transitive Property of Parallel Lines
If line l is parallel to line m and line m is parallel to line n, then line l is parallel to line n.
