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Geometry 4.2 Parallel Lines and Transversals Geometry 4.3 Transversals and Corresponding Angles Transversal A line is a transversal if and only if it intersects two or more lines, each at a different point. Lines cut by a transversal may or may not be parallel. 98 percent of what we do in Geometry with transversals will involve parallel Lines You will know they are parallel because they will tell you, or they will draw an extra arrow on the lines When a transversal intersects two lines, eight angles are formed 1 2 3 4 5 6 7 8 These are called interior angles 3 4 5 6 These are called exterior Angles 1 2 7 8 Corresponding angles are angles in similar locations 1 2 3 4 5 6 7 8 Alternate interior Angles 3 4 5 6 Alternate exterior Angles 1 2 7 8 Consecutive interior Angles 3 4 5 6 Things to know: If the lines are parallel then: Corresponding Angles are Congruent Things to know: If the lines are parallel then: Alternate Interior Angles are Congruent Things to know: If the lines are parallel then: Alternate Exterior Angles are Congruent Things to know: If the lines are parallel then: Consecutive Interior Angles are Supplementary So instead of this picture... 1 2 23 41 15 26 27 We can redraw it like this... 81 4.2 4-38 4.3 4-28