Geometry vocabulary Mr. Dorn. Corresponding Angles Postulate If two parallel lines are cut by a...
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Transcript of Geometry vocabulary Mr. Dorn. Corresponding Angles Postulate If two parallel lines are cut by a...
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.