3.1 Pairs of Lines and Angles

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Presentation transcript:

3.1 Pairs of Lines and Angles

What We Will Learn Identify lines and planes Identify parallel and perpendicular lines Identify pairs of angles formed by transversals

Needed Vocab Parallel lines: lines that are coplanar and do not intersect Skew lines: lines that are not coplanar and do not intersect Parallel planes: planes that do not intersect Transversal: line that intersects two or more coplanar lines at different points Corresponding angles: angles that are on same side of transversal and the coplanar lines Alternate interior angles: angles between coplanar lines and on opposite sides of the transversal Alternate exterior angles: angles outside the coplanar lines and on opposite sides of the transversal Consecutive (same side) interior angles: angles between coplanar lines and on same side of transversal

Ex. 1 Identifying Lines and Planes A. line(s) parallel to 𝐶𝐷 containing point A 𝐴𝐵 B. plane parallel to EFG containing point A Plane ABC C. line(s) perpendicular to 𝐴𝐷 𝐸𝐷 , 𝐶𝐷 , 𝐻𝐴 , 𝐴𝐵 D. name 2 skew lines 𝐴𝐷 , 𝐻𝐺 C B A D F G E H

Ex. 2 Identify Parallel and Perpendicular Lines ∥𝑚𝑒𝑎𝑛𝑠 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 ⊥𝑚𝑒𝑎𝑛𝑠 𝑝𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟 Name a pair of ∥ lines 𝐷𝑀 , 𝐸𝐹 Name a pair of ⊥ lines 𝐵𝐹 , 𝐴𝐷

Ex. 3 Identifying Angles Name: A. corresponding angles ∠1, ∠5; ∠2, ∠6; ∠3, ∠7; ∠4, ∠8 B. alternate interior ∠2, ∠7; ∠4, ∠5 C. alternate exterior ∠1, ∠8; ∠3, ∠6 D. consecutive (same side) ∠2, ∠5; ∠4, ∠7

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