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Transversals & Special Angles

Transversals & Special Angles. Objectives: 1.) To identify transversals 2.) To identify angles formed by lines and their transversals. Definition. A transversal is a line that intersects two or more coplanar lines in two or more distinct points. Example 1.

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Transversals & Special Angles

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

  2. Definition A transversalis a line that intersects two or more coplanar lines in two or more distinct points. Mrs. McConaughy Geometry

  3. Example 1 Is linet a transversal? Explain. t m n t r t s x y Mrs. McConaughy Geometry

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

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

  6. Special Angle Pairs Formed by Two Lines and a Transversal 1 2 34 56 7 8 12 34 5 6 78 Alternate InteriorAngles Corresponding Angles 1 2 34 56 7 8 12 3 4 5 6 78 Alternate Exterior Angles Same-Side Interior Angles Mrs. McConaughy Geometry

  7. 7 8 5 6 3 4 1 2 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 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 Mrs. McConaughy Geometry

  8. 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: Mrs. McConaughy Geometry

  9. Final Checks for Understanding Given l // m, cut by transversal s, name the following: Corresponding Angles: Alternate Interior Angles: Alternate Exterior Angles: Mrs. McConaughy Geometry

  10. Homework Homework: Transversals and Special Angles WS plus text: ________ Mrs. McConaughy Geometry

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