1 / 24

Determining Angle Measures when Parallel Lines Are Cut by a Transversal

Today’s Lesson. Determining Angle Measures when Parallel Lines Are Cut by a Transversal. Warm-Up Activity. We will warm up today by finding angle measures. 150°. x. How can you find the missing angle without using a protractor?. These are supplementary angles.

janine
Download Presentation

Determining Angle Measures when Parallel Lines Are Cut by a Transversal

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. Today’s Lesson Determining Angle Measures when Parallel Lines Are Cut by a Transversal

  2. Warm-Up Activity We will warm up today by finding angle measures.

  3. 150° x How can you find the missing angle without using a protractor? These are supplementary angles. Supplementary angles add up to 180°.

  4. 150° x The supplementary angles add up to 180 degrees. x + 150 = 180 x = 180 – 150 x = 30 30°

  5. 43° x How can you find the missing angle without using a protractor? x = 43° These angles are vertical. Vertical angles have the same angle measure.

  6. 82° x 32° How can you find the missing angle of the triangle without using a protractor? What do you know about triangles that will help you find the missing angle? The sum of the triangle’s angles equals 180 degrees.

  7. 82° x 32° The sum of the triangle’s angles equals 180 degrees. 82 + 32 + x = 180 114 + x = 180 x = 180 – 114 x = 66 66°

  8. Whole-Class Skills Lesson Today, you will focus on using patterns to find missing angles.

  9. 43° 43° Congruent Angles have the same measure in degrees

  10. Parallel Lines Are always the same distance apart. They will never intersect.

  11. Transversal A line that crosses a pair of parallel lines.

  12. Corresponding Angles 1 2 4 3 A B D C Angles in the same position on parallel lines cut by a transversal are congruent.

  13. Corresponding Angles 1 2 4 3 A B D C

  14. Vertical angles have the same angle measure. The sum of the triangle’s angles equals 180 degrees. Supplementary angles add up to 180 degrees.

  15. c 1 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. What types of angles do you see in this example? Supplementary, Vertical, and Corresponding Angles

  16. c 1 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. Angles 1 and 5 Angles 4 and 8 Angles 2 and 6 Angles 3 and 7 Can you name the corresponding angles?

  17. c 1 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. Angles 1 and 3 Angles 4 and 2 Angles 5 and 7 Angles 6 and 8 Can you name the vertical angles?

  18. c 1 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. Angles 1 and 2 Angles 2 and 3 Angles 3 and 4 Angles 4 and 1 Angles 5 and 6 Angles 6 and 7 Can you name some of the supplementary angles? Angles 7 and 8 Angles 5 and 8

  19. c 110 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. If Angle 1 measures 110 degrees, what is the measure of Angle 3? 110°

  20. c 110 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. If Angle 1 measures 110 degrees, what is the measure of Angle 4? 70°

  21. c 110 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. If Angle 1 measures 110 degrees, what is the measure of Angle 8? 70°

  22. c 110 2 a 4 3 5 6 b 8 7 Lines a and b are parallel. If Angle 1 measures 110 degrees, what is the measure of Angle 7? 110°

  23. c 1 2 a 4 3 5 52° b 8 7 Lines a and b are parallel. If Angle 6 measures 52 degrees, what is the measure of Angle 7? 128°

  24. c 1 2 a 4 3 5 52° b 8 7 Lines a and b are parallel. 128° 52° 52° 128° 128° 52° 128° If Angle 6 measures 52 degrees, what is the measure of all the angles on the diagram?

More Related