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Perpendicular Lines two lines that intersect to form a right angle m Parallel Lines lines that do not intersect and are coplanar m n n m||n Line m is parallel to line n. Line m is perpendicular to line n. mn Parallel lines have the same slope. Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 21 Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 22 Skew Lines Transversal lines that do not intersect and are not coplanar a line that intersects at least two other lines t m t a x y n b Line t is a transversal. Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 23 Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 24 Corresponding Angles Alternate Interior Angles angles in matching positions when a transversal crosses at least two lines angles inside the lines and on opposite sides of the transversal t t 1 2 3 1 4 a 7 4 3 6 5 b 8 b Examples: 1) 1 and 4 2) 2 and 3 Examples: 1) 2 and 6 2) 3 and 7 Virginia Department of Education ©2013 2 a Geometry Vocabulary Cards Page 25 Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 26 Alternate Exterior Angles Consecutive Interior Angles angles outside the two lines and on opposite sides of the transversal angles between the two lines and on the same side of the transversal t 1 t 2 1 3 a a 3 4 Geometry Vocabulary Cards 4 b Examples: 1) 1 and 2 2) 3 and 4 Examples: 1) 1 and 4 2) 2 and 3 Virginia Department of Education ©2013 2 b Page 27 Virginia Department of Education ©2013 Geometry Vocabulary Cards Page 28 Parallel Lines t 2 1 3 a 4 6 5 7 8 b Line a is parallel to line b when Corresponding angles are congruent Alternate interior angles are congruent Alternate exterior angles are congruent Consecutive interior angles are supplementary Virginia Department of Education ©2013 1 5, 2 6, 3 7, 4 8 3 6 4 5 1 8 2 7 m3+ m5 = 180° m4 + m6 = 180° Geometry Vocabulary Cards Page 29