# 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 ____________________.

y = mx + b

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.

Example: