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Geometry 3.1-3.3

TermDefinition
Parallel Lines Two lines that do not intersect and are coplanar.
Skew Lines Two lines that do not intersect and are not coplanar.
Parallel Postulate If there is a line and a point not on the line then there is exactly one line through the point parallel to the given line.
Perpendicular Postulate If there is a line and a point not on the line then there is exactly one line through the point perpendicular to the given line.
Transversal A line that intersects two or more coplanar lines at different points.
Corresponding angles Two angles that are formed by two lines and a transversal and occupy corresponding positions.
Alternate interior angles Two angles that are formed by two lines ans a transeversal and lie between the two line and on opposite sides of the transversal
Alternate exterior angles Two angles that formed by two lines and a transversal and lie outside the two lines ad on opposite sides of the transversal.
Consecutive interior angles Two angles that are formed by two lines and transversal and lie between the two lines on the same side of the transversal. Also called same-side interior angles.
Corresponding angles postulate If two parallel limes are cut by a transversal, then the pairs of corresponding angles are congruent.
Alternate interior angles theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Alternate exterior angles theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Consecutive interior angles theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
Corresponding angles converse If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.
Alternate interior angles converse If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
Alternate exterior angles converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
Consecutive interior angles converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.
Paragraph proof A type of proof written in paragraph form.
Transitive property of parallel lines If two lines are parallel to the same line, then they are parallel to each other.
Created by: CDlugopolski
 

 



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