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Lesson 3.2 Use Parallel Lines and Transversals. Goal: The learner will use angles formed by parallel lines and transversals. Activity. Draw a pair of parallel lines cut by a transversal. Trace your drawing on tracing paper.
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Lesson 3.2 Use Parallel Lines and Transversals Goal: The learner will use angles formed by parallel lines and transversals.
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 5 6 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 60 115 60 100 100
Using Algebra and Properties 115 (x + 5)
92 (2x -4)