3.2 Use || Lines and Transversals

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Chapter 3.2 Notes: Use Parallel Lines and Transversals
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Presentation transcript:

3.2 Use || Lines and Transversals Mrs. Vazquez Geometry

g-CO.3.9 Essential Question: How do I apply my knowledge of parallel lines and transversals? Objective: Students will be able to use angles formed by parallel lines and transversals.

corresponding ∡s postulate If two || lines are cut by a transversal, then the two pairs of corresponding ∡s are ≅.

Alt. Int. ∡s theorem If two || lines are cut by a transversal, then the pairs of alternate interior ∡s are ≅.

Alt. ext. ∡s theorem If two || lines are cut by a transversal, then the pairs of alternate exterior ∡s are ≅.

consecutive interior ∡s theorem If two || lines are cut by a transversal, then the pairs of consecutive interior ∡s are supplementary.

Solve for x (5x + 35)o + 45o = 180o =45o (vertical ∡s) (5x + 35) is a consecutive interior pair with ∡6 =45o (vertical ∡s) (5x + 35)o + 45o = 180o (5x + 35) + 45 = 180o 5x + 80 = 180o 5x = 100o x = 20

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