1 / 10

3-1 Properties of Parallel Lines M11.B 2.3.11.A

3-1 Properties of Parallel Lines M11.B 2.3.11.A. Objectives: To identify angles formed by two lines and a transversal To prove and use properties of parallel lines. Vocabulary. A transversal is a line that intersects two coplanar lines at two distinct points. (8 angles are formed). l. m.

majed
Download Presentation

3-1 Properties of Parallel Lines M11.B 2.3.11.A

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. 3-1 Properties of Parallel LinesM11.B 2.3.11.A Objectives: To identify angles formed by two lines and a transversal To prove and use properties of parallel lines

  2. Vocabulary • A transversal is a line that intersects two coplanar lines at two distinct points. (8 angles are formed) l m t

  3. 4Types of Angles • Alternate interior angles • Same-side interior angles • Corresponding angles • Alternate exterior angles 6 5 3 1 2 4 8 7

  4. Example: Identifying Angles • Same side Interior Angles • Corresponding Angles 1 4 8 5 3 2 6 7

  5. Postulate 3-1: Corresponding Angles • If a transversal intersects two parallel lines, then corresponding angles are congruent. Example: t l m

  6. Alternate Interior/Exterior Angles • If a transversal intersects two parallel lines, then alternate interior angles and the alternate exterior angles are congruent. t a b

  7. Same Side Interior Angles • If a transversal intersects two parallel lines, then same-side interior angles are supplementary. Example:

  8. Find the measure of each missing angle…Justify your answer t l m

  9. Vocabulary - Review • Straight Angle – Angle(s) measure 180° to form a straight angle.

  10. Example: Using algebra to find Angle Measures 2xy (y - 50)

More Related