Lesson 5-2 Parallel and Perpendicular Lines Obj: I can identify parallel and perpendicular lines and the angles formed by a transversal HWK: p 204 6-18 all Vocab: 1) parallel lines 2) perpendicular lines 3) transversal
Properties of Transversals to Parallel Lines If two parallel lines are intersected by a transversal Corresponding angles are congruent Alternate interior angles are congruent Alternate exterior angles are congruent If the transversal is perpendicular to the parallel lines, all of the angles formed are congruent 90° angles
Ex 1) In the figure, line “a” ││ line “b” Ex 1) In the figure, line “a” ││ line “b”. Find the measure of each angle. Justify your answer m< 4 m< 3 m< 5 b c a 7 4 6 3 5 74° 2 1
m< 3 m< 1 m< 2 m< 4 m< 5 m< 6 m< 7 Ex 2) In the figure, line “n” ││ line “m”. Find all of the measures of the angles. Justify your answer. m< 3 m< 1 m< 2 m< 4 m< 5 m< 6 m< 7 124° 1 n 2 3 4 5 m 6 7