1 / 15

Geometry: Chapter 3

Geometry: Chapter 3. Ch. 3.3: Use Parallel Lines and Transversals. Postulate 15: Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 154.

aidan-cochran
Download Presentation

Geometry: Chapter 3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry: Chapter 3 Ch. 3.3: Use Parallel Lines and Transversals

  2. Postulate 15: Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 154.

  3. Ex. 1 Identify Congruent Angles The measure of three of the numbered angles is 550. Identify the angles. Explain your reasoning. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 155.

  4. Theorem 3.4 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 155.

  5. Theorem 3.5 Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 155.

  6. Theorem 3.6 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 155.

  7. Theorem 3.7: Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. If h || k, and j┴ h, then j┴ k. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 192.

  8. Ex. 2 Use properties of parallel lines. Find the value of x. Solution: By the Corresponding Angles Postulate, the angle with a m135o and the angle with a m(x -30)o are congruent. Using the definition of congruent angles, the two angle measures are equal. 135o= (x -30)o 135+30=x 165=x Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 155.

  9. Ex. 3. Prove that if two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 156.

  10. Ex. 4 Determine which other lines, if any, must be perpendicular. Explain your reasoning. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 192.

  11. Ex. 4 Determine which other lines, if any, must be perpendicular. Explain your reasoning. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 192.

More Related