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16 terms

Alvarez: Geometry

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intersect
Parallel lines are coplanar lines that do not _____________.
transversal
A line that intersects two or more lines in a plane at different points.
skew
Lines that do not intersect and are not coplanar.
Corresponding
The _________________ Angle Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.
Interior
The Alternate ______________ Angel Theorem state that if two parallel lines are cut by a transvrsal, then each pair of alternate interior angles is congruent
Consecutive
The __________________ Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplelmentary.
Exterior
The Alternate _______________Angles Theorem state that if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
Perpendicular Transversal
The ____________________ Theorem states that In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
parallel lines
The slope of __________________ are the same.
Slope formula
Two points with coordinates (x₁,y₁) and (x₂, y₂) is given by m = (y₂ - y₁) /(x₂ - x₁)
perpendicular
If the product of the slopes of two non vertical lines is -1, then they are ____________________.
slope intercept form
y = mx + b
point-slope form
y-y₁ = m(x - x₁)
congruent
If two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is ______________, then the two lines are parallel.
supplementary
If two lines in a plane are cut by a transversal so that a pair of consecutive angles is __________________, then the lines are parallel.
equidistant
In a plane, if two lines are ____________________ from a third line, then the two lines are parallel to each other.