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3.5 Properties of Parallel Lines

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Presentation on theme: "3.5 Properties of Parallel Lines"— Presentation transcript:

1 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 _______________.

2

3 3.5 Properties of Parallel Lines

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

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

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

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

8 3.5 Properties of Parallel Lines

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

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

11 3.5 Properties of Parallel Lines
QED


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