Angles and Parallel Lines

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Presentation transcript:

Angles and Parallel Lines 1 2 3 4 5 6 7 8

Corresponding Angle Postulate If two parallel lines are crossed by a transversal, then each pair of corresponding angles are congruent. 1 2 3 4 5 6 7 8

Alternate Interior Angles Theorem If two parallel lines are crossed by a transversal, then each pair of alternate interior angles are congruent. 1 2 3 4 5 6 7 8

Consecutive Interior Angles Theorem If two parallel lines are crossed by a transversal, then each pair of consecutive interior angles are supplementary. 1 2 3 4 5 6 7 8

Alternate Exterior Angles Theorem If two parallel lines are crossed by a transversal, then each pair of alternate exterior angles are congruent. 1 2 3 4 5 6 7 8

Perpendicular Transversal Theorem In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. a b c

Angles and Parallel Lines Make a sketch of the problem in your notes. Angles and Parallel Lines Given j || k, Applications – Find the measure of 3 4 5 2 1. 43o 1 7 8 6 9 Corresponds with 1. 11 10 2. 24o 12 Alternate exterior with 14. 13 3. 156o Linear pair with 9. 180o – 24o = 156o 14

Angles and Parallel Lines Given j || k, Find the measure of Applications – 3 4 5 2 4. 137o 1 7 8 6 9 Linear pair with 3. 11 10 5. 156o 12 Vertical angle with 10. 13 6. 43o Vertical with 1. Alternate Interior of 3. 14

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