1 / 18

Alternate Interior Angles High School Geometry Aligned to Common Core State Standards

Alternate Interior Angles High School Geometry Aligned to Common Core State Standards. Teacher Notes.

cullen-cunningham
Download Presentation

Alternate Interior Angles High School Geometry Aligned to Common Core State Standards

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. Alternate Interior Angles High School Geometry Aligned to Common Core State Standards

  2. Teacher Notes Insight 360™ is eInstruction’s classroom instruction system that allows you to interact with your students as they learn, quickly gaining insight into student understanding during class so you can adjust instruction in real-time during a single class session. Use this content, designed specifically for use with Insight 360™, to interact with your class. This content includes brief instructional material and two types of activities: Constructed Response Activity for students to complete as an individual or a group assignment. Send each Constructed Response Activity to the Insight 360 iPad Student App. Assessment Item with CueTag™ for students to respond to via student response devices. Receive instant real-time feedback and longitudinal reports.

  3. Definition of Alternate Interior Angles Two angles that lie between two lines and on the opposite sides of a third line are called alternate interior angles. In the drawing below, 3 and 6 would be alternateinterior angles since they are inside the blue parallel lines and on opposite (alternate) sides of the transversal (red line). Angles 4 and 5 are also alternate interior angles. 2 1 4 3 6 5 8 7

  4. Alternate Exterior Angles Based on what you know about alternate interior angles, which angles would be alternate exterior angles? 2 1 4 3 6 5 8 7

  5. Alternate Exterior Angles Based on what you know about alternate interior angles, which angles would be alternate exterior angles? Angles 1 and 8 are alternate exterior angles. Angles 2 and 7 are alternate exterior angles. 2 1 4 3 6 5 8 7

  6. Same-side or Consecutive Interior Angles Based on what you know about alternate interior angles, which angles would be same-side or consecutive interior angles? 2 1 4 3 6 5 8 7

  7. Same-side or Consecutive Interior Angles Based on what you know about alternate interior angles, which angles would be same-side or consecutive interior angles? Angles 3 and 5 are same-side interior angles. Angles 4 and 6 are same-side interior angles. 2 1 4 3 6 5 8 7

  8. Corresponding Angles Corresponding angles lie on corresponding sides of the two lines and on the same side of the third line. Angles 1 and 5 are corresponding angles. What other pairs of angles are corresponding angles? 2 1 4 3 6 5 8 7

  9. Corresponding Angles Corresponding angles lie on corresponding sides of the two lines and on the same side of the third line. Angles 1 and 5 are corresponding angles. What other pairs of angles are corresponding angles? Angles 3 and 7, angles 2 and 6, and angles 4 and 8 are also pairs of corresponding angles. 2 1 4 3 6 5 8 7

  10. Corresponding Angles Postulate If two parallel lines are cut by a transversal, then corresponding angles are congruent. 2 1 4 3 6 5 8 7

  11. Prove alternate interior angles are congruent. If two lines are parallel, prove alternate interior angles are congruent. Given: m  n Prove: 4  5 1 2 m 4 3 6 5 n 8 7

  12. Prove alternate interior angles are congruent. If two lines are parallel, prove alternate interior angles are congruent. Given: m  n Prove: 4  5 Answers may vary. 1 2 m 4 3 6 5 n 8 7

  13. Congruent Angles Activity If m  n and a  b, find all the angles congruent to 6. a b m 9 10 2 1 12 11 4 3 14 13 n 6 5 15 16 8 7

  14. Congruent Angles Activity • If m  n and a  b, find all the angles congruent to 6. • 2, 3, 7, 10, 11, 14, 15 a b m 9 10 2 1 12 11 4 3 14 13 n 6 5 15 16 8 7

  15. Given m  n, find the value of x. m 68 n 104 (5x+4)

  16. Create Your Own • Create your own problem to find a missing angle measure using parallel lines and alternate interior angles. Your problem must include the following: • a diagram • given information • 3 or more steps to solve

  17. Create Your Own • Create your own problem to find a missing angle measure using parallel lines and alternate interior angles. Your problem must include the following: • a diagram • given information • 3 or more steps to solve • Answers will vary.

  18. For information about Insight 360™, visit http://www.einstruction.com. For additional content samples, click here.

More Related