3.5 Properties of Parallel Lines

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Presentation transcript:

3.5 Properties of Parallel Lines Geometry Quiz 3.4 2. If two lines intersect to form a pair of adjacent congruent angles, the lines are _______________.

3.5 Properties of Parallel Lines

Corresponding Angles Postulate 2 1 If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Corresponding Angles Postulate 2 1 If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Alternate Interior Angles Theorem 2 1 If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Consecutive Interior Angles Theorem 2 1 If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

3.5 Properties of Parallel Lines

Alternate Exterior Angles Theorem 2 1 If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second.

3.5 Properties of Parallel Lines QED

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