Chapter Summary 03 Parallel and Perpendicular Lines

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13 Terms

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Parallel Lines
Two lines that do not intersect and are coplanar.
Two lines that do not intersect and are coplanar.
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Skew Lines
Lines that do not intersect and are not coplanar.
Lines that do not intersect and are not coplanar.
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Parallel Planes
Two planes that do not intersect.
Two planes that do not intersect.
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Corresponding Angles
Angles that have corresponding positions when two lines are cut by a transversal.
Angles that have corresponding positions when two lines are cut by a transversal.
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Alternate Interior Angles
Angles that lie between two lines and on opposite sides of a transversal.
Angles that lie between two lines and on opposite sides of a transversal.
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Alternate Exterior Angles
Angles that lie outside two lines and on opposite sides of a transversal.
Angles that lie outside two lines and on opposite sides of a transversal.
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Consecutive Interior Angles
Angles that lie between two lines and on the same side of a transversal.
Angles that lie between two lines and on the same side of a transversal.
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Slope
The ratio of the rise (change in y) to the run (change in x) of a line.
The ratio of the rise (change in y) to the run (change in x) of a line.
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Slope-Intercept Form
A linear equation written in the form y = mx + b, where m is the slope and b is the y-intercept.
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Point-Slope Form
A linear equation written in the form y - y₁ = m(x - x₁), indicating the line passes through the point (x₁, y₁) with slope m.
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Slopes of Parallel Lines
Two distinct non-vertical lines are parallel if and only if they have the same slope.
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Slopes of Perpendicular Lines
Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.
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Distance from a Point to a Line
The length of the perpendicular segment from the point to the line; the shortest distance between the point and the line.