Transversals & Special Angles

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Presentation transcript:

Transversals & Special Angles Objectives: 1.) To identify transversals 2.) To identify angles formed by lines and their transversals 4/26/2017 Mrs. McConaughy Geometry

Mrs. McConaughy Geometry Definition A transversal is a line that intersects two or more coplanar lines in two or more distinct points. 4/26/2017 Mrs. McConaughy Geometry

Example 1 Is line t a transversal? Explain. t t m r n t s x y 4/26/2017 Mrs. McConaughy Geometry

Mrs. McConaughy Geometry Example 2 Identify each transversal in the figure. A B C AC AB BC 4/26/2017 Mrs. McConaughy Geometry

Special Angle Pairs Formed by Two Lines and a Transversal Recall, linear pairs of angles and vertical angles! Special Angle Pairs Formed by Two Lines and a Transversal When a transversal intersects two lines, some special angle pairs are formed. 4/26/2017 Mrs. McConaughy Geometry

Special Angle Pairs Formed by Two Lines and a Transversal 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 Alternate Interior Angles Corresponding Angles 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 Alternate Exterior Angles Same-Side Interior Angles 4/26/2017 Mrs. McConaughy Geometry

Mrs. McConaughy Geometry Example 3 Identify each given pair of angles as alternate interior, corresponding, alternate exterior, or none of these. 1 & 8 3 & 7 4 & 5 2 & 8 3 & 5 7 8 5 6 3 4 1 2 Determine the following: Corresponding Angles: < 7 & < 3; < 5 & < 1 < 8 & < 4; < 6 & < 2 Alternate Interior Angles: < 5 & < 4; < 6 & < 3 Alternate Exterior Angles: < 7 & < 2; < 8 & < 1 Same-side Interior Angles: < 5 & < 3; < 6 & < 4 4/26/2017 Mrs. McConaughy Geometry

Final Checks for Understanding 1. Define transversal. 2. Given l // m, cut by transversal s, in the figure which follows, name the following: Corresponding Angles: Alternate Interior Angles: Alternate Exterior Angles: Same-side Interior Angles: 4/26/2017 Mrs. McConaughy Geometry

Final Checks for Understanding l m 1 2 3 4 r 5 6 7 8 9 10 11 12 13 14 15 16 s Given l // m, cut by transversal s, name the following: Corresponding Angles: Alternate Interior Angles: Alternate Exterior Angles: 4/26/2017 Mrs. McConaughy Geometry

Mrs. McConaughy Geometry Homework Homework: Transversals and Special Angles WS plus text: ________ 4/26/2017 Mrs. McConaughy Geometry

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