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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.

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

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  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.

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