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Comp book 3.1 Parallel Lines and Transversals Essential Question: How do we use parallel lines and transversals to identify angle measures? Take out 4 different colored pencils from blue box…or your own Complementary Angles = When sum of two angles equals 90° O R N E R Comp book Comp book Supplementary Angles = Straight When sum of two angles equals 180° Vocabulary Comp book Parallel Lines – Lines in the same plane that do not intersect P || Q The symbol || means “is parallel to.” Perpendicular Lines – Intersecting lines whose angle measures 90° L⊥M The symbol ⊥ means “is perpendicular to.” Transversal: a line that intersects two or more lines. Comp book Transversals to parallel lines form special angle pairs. A ll B A B Adjacent angles: (next door & supplementary = 180) 1 & 2 2 & 3 3 & 4 4 & 1 1 4 5 5 & 6 5 & 8 6 & 7 7 & 8 8 6 7 2 3 Foldable Vertical angles: (opposite & congruent) 1 3 2 4 1 4 5 7 6 8 5 8 6 7 2 3 Foldable Review Let’sLet’s Review Corresponding angles: d a c b f e Foldable If parallel lines are crossed by a transversal then Common Mistake Let’sAReview corresponding angles are congruent Corresponding: Not Corresponding: *because lines are parallel* because lines are not parallel* 2 1 3 1 4 5 6 7 8 2 3 4 5 6 7 8 Interior angles: Foldable Foldable Exterior angles: Foldable Foldable Foldable Foldable Subtract known angle (100 degrees) from 180 degrees to find its supplementary adjacent angle 80 80 and 100 form supplementary angle 100 80 Vertical angles are congruent 100 80 80 100 80 80 100 100 80 80 Corresponding angles from one of the parallel lines are all congruent to their corresponding angles on the second parallel line FindQuick missingQuiz variable Let’s Review Find the value of x. (x + 12)0 660 FindQuick missingQuiz variable Let’s Review 120 (x + 50)