Proving Lines Parallel

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Presentation transcript:

Proving Lines Parallel Lesson 3-5 Proving Lines Parallel

Proving Lines Parallel - Postulates & Theorems If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

Proving Lines Parallel - Postulates & Theorems If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.

Proving Lines Parallel - Postulates & Theorems If two lines are cut by a transversal and consecutive interior angles are supplementary, then the lines are parallel.

Proving Lines Parallel - Postulates & Theorems 1 b 2 Converse of Alternate Exterior Angles Theorem If two lines and a transversal intersects form alternate exterior angles that are congruent, then the two lines are parallel.

Proving Lines Parallel - Postulates & Theorems If two lines are perpendicular to the same transversal then they are parallel.

Examples: Proving Lines Parallel Find the value of x which will make lines a and lines b parallel. 2. 1. 3. 4. 1. 20° 2. 50° 3. 90° 4. 20° Answers:

Proving Lines Parallel - Postulates & Theorems Show that corresponding angles are congruent. Show that alternative interior angles are congruent. Show that consecutive interior angles are supplementary. In a plane, show that the lines are perpendicular to the same line. Lesson 2-5: Proving Lines Parallel

HOMEWORK Pg. 211-212 #1-23 all 25-28

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