Lesson 3.2 Use Parallel Lines and Transversals

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

Lesson 3.2 Use Parallel Lines and Transversals Goal: The learner will use angles formed by parallel lines and transversals.

Draw a pair of parallel lines cut by a transversal. Activity Draw a pair of parallel lines cut by a transversal. Trace your drawing on tracing paper. Move the tracing paper so that 1 is over 5 of the original picture. Are they congruent? Compare the eight angles and list the congruent pairs. Click on Me for something cool.

Corresponding Angles Postulate If two parallel lines are cut by a transversal, then corresponding angles are congruent. Identify pairs of corresponding angles. Find the measures of all the angles. 120° 2 6 5 3 4 7 8

Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.

Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the consecutive angles are supplementary.

Why are the angles congruent? 60 120 115 60 100

Using Algebra and Properties 115 (x + 5)

92 (2x -4)

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