Geometry vocabulary Mr. Dorn

Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Alt. Interior Angle theorem If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Consecutive Interior angles theorem If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

Alt. Exterior angles theorem If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

Perpendicular Transversal Theorem In a Plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Postulate 3-4 If two lines are cut by a transversal so that corresponding angles are congruent, then the two lines are parallel.

Parallel Postulate If there is a line and a point not on the line there exists exactly one line through that point parallel to the given line.

Theorem 3-5 If two lines in a plane are cut by a transversal to form a pair of alternate exterior angles are congruent, then the two lines are parallel.

Theorem 3-6 If two lines in a plane are cut by a transversal to form a pair of consecutive exterior angles are congruent, the two lines are parallel.

Theorem 3-7 If two lines in a plane are cut by a transversal to form a pair of alternate interior angles are congruent, then the two lines are parallel.

Theorem 3-8 In a plane, if two lines are perpendicular to the same line, then they are parallel.

Def. of the Distance between a point and line The distance from a line to a point not on the line is the length of the segment perpendicular to the line from the point.

Def. of distance between parallel lines The distance between two parallel lines is the distance between one of the lines and any point on the other line.