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CCGPS Analytic Geometry Parallel Lines A ______________________ is a line that intersects two or more coplanar lines at different points. Example: Two angles are __________________________________if they occupy corresponding positions. Examples: Two angles are ______________________________________ if they lie between the two lines on opposite sides of the transversal. Examples: Two angles are ______________________________________ if they lie outside the two lines on opposite sides of the transversal. Examples: Two angles are ______________________________________ if they lie between the two lines on the same side of the transversal. *Consecutive interior angles is also called same side interior angles. Examples: You Try! Date: _____________ If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. Corresponding Angles Converse: If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. Alternate Interior Angles Converse: If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. Consecutive Interior Angles Converse: If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel. Alternate Exterior Angles Converse: If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel. If two lines intersect to form a ______________________ of congruent angles, then the lines are _______________________. If two sides of two _________________ acute angles are perpendicular, then the angles are ________________________. If two lines are _________________________, then they intersect to form four right angles. Given: p || r , 1 3 Prove: ℓ || m STATEMENTS REASONS p r 3 2 1 3 1 2 l m STATEMENTS p q 1 3 m1 m3 2 and 3 form a linear pair m3 m2 180 m1 m2 180 1 and 2 are supplementary REASONS