Parallel Lines and Angles

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Presentation transcript:

Parallel Lines and Angles Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent. Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Angles and Parallel Lines Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal is supplementary. Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent. Perpendicular Transversal Theorem If a transversal intersecting two parallel lines is perpendicular to one of the lines, it is perpendicular to the other line.

In the figure and Find Answer: Example 2-1b

Grid-In Test Item What is the measure of IGE? Answer: Example 2-2d

ALGEBRA If and find x and y. Answer: Example 2-3h

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