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Name: ________________________Unit 1B: Angles and Parallel Lines A line that intersects two or more lines in a plane at different points is called a transversal. When a transversal t intersects line n and m, angles of the following types are formed: Vertical angles Linear Pairs Corresponding angles Consecutive interior angles Consecutive exterior angles Alternate exterior angles Alternate interior angles If two parallel lines are cut by a transversal, then the following pairs of angles are congruent. 1. Corresponding angles 2. Alternate interior angles 3. Alternate exterior angles m t n If two parallel lines are cut by a transversal, then the following pairs of angles are supplementary. 1. Consecutive interior angles 2. Consecutive exterior angles 3. Linear Pair Angle Pair Vertical Angles Same Group & Across the Vertex Linear Pair Same Group & Side-by-Side Angle Relationship Congruent Supplementary = 180⁰ Corresponding Different Groups, SAME POSITION Congruent & Angles- Inside and Outside Consecutive Interior Different Groups, INSIDE & Same Side Alternate Interior Different Groups, INSIDE & Different Sides Consecutive Exterior Supplementary = 180 Congruent Different Groups, OUTSIDE & Same Side Supplementary = 180 Alternate Exterior Congruent Different Groups, OUTSIDE & Different Sides DIAGRAM
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