Angles formed by Parallel Lines and Transversals.

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Presentation transcript:

Angles formed by Parallel Lines and Transversals

Learning Targets  Students should be able to… Prove and use theorems about the angles formed by parallel lines and a transversal.

Warm-up

Homework Check

3.1 Quiz Time!  Put everything away.  It should only take about 5-10 minutes to complete!

Discovery!

Use a protractor to measure each angle!

Conclusion  What can you conclude about these types of angles?  Corresponding angles are congruent!!

Discovery! Use a protractor to measure each angle!

Conclusion  What can you conclude about these types of angles?  Alternate Exterior Angles are congruent!!

Discovery! Use a protractor to measure each angle!

Conclusion  What can you conclude about these types of angles?  Alternate Interior Angles are congruent!!

Discovery!

Conclusion  What can you conclude about these types of angles?  Vertical Angles are congruent!!

Discovery!

Conclusion  What can you conclude about these types of angles?  Consecutive Interior Angles (same side angles) are SUPPLEMENTARY!!

You have just discovered… Theorem 2-7-2: Vertical Angle Theorem Postulate 3-2-1: Corresponding Angles Postulate Theorem 3-2-2: Alternative Interior Angles Theorem 3-2-4: Consecutive Interior Angles Theorem 3-2-3: Alternate Exterior Angles

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

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

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

Vertical Angle Theorem  If two parallel lines are cut by a transversal, then the pairs of vertical angles are congruent!

Let’s Practice!

Extra Practice!

Wrap up!! Explanations Needed!

Homework Assignment  Page 158 – 159 #1 – 4, 6 – 11, 13 – 19, 21, Re-takes if needed!! Keep studying those angles!!

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