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3-1 Properties of Parallel Lines M11.B 2.3.11.A Objectives: 1) To identify angles formed by two lines and a transversal 2) To prove and use properties of parallel lines Vocabulary A transversal is a line that intersects two coplanar lines at two distinct points. (8 angles are formed) l m t 4 Types of Angles 1) Alternate interior angles 2) Same-side interior angles 3) 4) Corresponding angles Alternate exterior angles 5 6 1 3 4 2 7 8 Example: Identifying Angles 1) Same side Interior Angles 2) Corresponding Angles 4 1 3 2 8 5 7 6 Postulate 3-1: Corresponding Angles If a transversal intersects two parallel lines, then corresponding angles are congruent. Example: t l m Alternate Interior/Exterior Angles If a transversal intersects two parallel lines, then alternate interior angles and the alternate exterior angles are congruent. t a b Same Side Interior Angles If a transversal intersects two parallel lines, then same-side interior angles are supplementary. Example: Find the measure of each missing angle…Justify your answer t l m Vocabulary - Review Straight Angle – Angle(s) measure 180° to form a straight angle. Example: Using algebra to find Angle Measures 2x y (y - 50)