1 / 22

Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. complementary. Warm Up Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________ . 2. Vertical angles have equal measures, so they are ______________.

howard-stevenson
Download Presentation

Warm Up

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. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. complementary Warm Up Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________ . 2. Vertical angles have equal measures, so they are ______________. 3. Angles whose measures have a sum of 180° are ______________. 4. An angle that measures less than 90° is a(n) ____________ angle. supplementary acute congruent

  3. I can identify parallel and perpendicular lines and the angles formed by a transversal.

  4. Vocabulary parallel lines perpendicular lines transversal

  5. Parallel lines are lines in a plane that never meet, like a set of perfectly straight, infinite train tracks. Perpendicular lines are lines that intersect at 90° angles.

  6. The sides of the windows are transversals to the top and bottom. The top and bottom of the windows are parallel. A transversal is a line that intersects two or more lines that lie in the same plane. Transversals to parallel lines form angles with special properties.

  7. Additional Example 1: Identifying Congruent Angles Formed by a Transversal Measure the angles formed by the transversal and parallel lines. Which angles seem to be congruent?

  8. Additional Example 1 Continued Angles circled in blue appear to be congruent to each other, and angles circled in red appear to be congruent to each other. 1 @3 @ 5 @7 2 @4 @6 @8

  9. Check It Out: Example 1 Measure the angles formed by the transversal and parallel lines. Which angles seem to be congruent? 1 2 4 3 5 6 8 7

  10. Check It Out: Example 1 Continued Angles marked in blue appear to be congruent to each other, and angles marked in red appear to be congruent to each other. 1 @4 @ 5 @8 2 @3 @6 @7 2 1 3 4 6 5 7 8

  11. Some pairs of the eight angles formed by two parallel lines and a transversal have special names.

  12. Writing Math The symbol for parallel is ||. The symbol for perpendicular is .

  13. Additional Example 2A: Finding Angle Measures of Parallel Lines Cut by Transversals In the figure, line l|| line m. Find the measure of all angles.

  14. Additional Example 2B: Finding Angle Measures of Parallel Lines Cut by Transversals Continued In the figure, line l || line m. Find the measure of the angle.

  15. 144° 1 m 4 3 6 5 n 8 7 Check It Out: Example 2A In the figure, line n || line m. Find the measure of the angle. The 144 angle and 7 are alternate exterior angles. 7 m7 = 144°

  16. 144° 1 m 4 3 6 5 n 8 7 Check It Out: Example 2B In the figure, line n || line m. Find the measure of the angle. 1 is supplementary to the 144° angle. m1 = 36°

  17. 144° 1 m 4 3 6 5 n 8 7 Check It Out: Example 2C In the figure, line n || line m. Find the measure of the angle. 5 and 1 are corresponding angles. 5 m5 = 36°

  18. Assignment Bookwork Pg. 204-205 All problems 1-26 Due at end of tomorrow’s class

  19. Lesson Quiz In the figure, a || b. 1. Name the angles congruent to 3. 1, 5, 7 2. Name all the angles supplementary to 6. 1, 3, 5, 7 3. If m1 = 105° what is m3? 105° 4. What is m6? 75°

  20. Lesson Quiz for Student Response Systems 1. In the figure, x || y. Identify the angles congruent to 3. A. 1, 2, 4 B. 2, 4, 6 C.4, 5, 6 D.1, 5, 8

  21. Lesson Quiz for Student Response Systems 2. In the figure, x || y. If m5 = 115°, what is m7? A. 25° B. 65° C.75° D.115°

More Related