Parallel and Perpendicular Lines Warm Up Problem of

Parallel and Perpendicular Lines Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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

Parallel and Perpendicular Lines Objective to identify parallel and perpendicular lines and the angles formed by a transversal.

Parallel and Perpendicular Lines Vocabulary Parallel lines - lines in a plane that never meet, like a set of perfectly straight, infinite train tracks. Perpendicular lines - lines that intersect at 90° angles. Transversal - a line that intersects two or more lines that lie in the same plane.

Parallel and Perpendicular Lines The sides of the windows are transversals to the top and bottom. The top and bottom of the windows are paralle

Parallel and Perpendicular Lines Additional Example 1: Identifying Congruent Angles Formed by a Transversal Which angles seem to be congruent?

Parallel and Perpendicular Lines Some special angle names.

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines Writing Math The symbol for parallel is ||. The symbol for perpendicular is .

Parallel and Perpendicular Lines Additional Example 2 A: Finding Angle Measures of Parallel Lines Cut by Transversals In the figure, line l || line m. Find the measure of the angle. 4 The 124 angle and 4 are corresponding angles. m 4 = 124°

Parallel and Perpendicular Lines Additional Example 2 B: Finding Angle Measures of Parallel Lines Cut by Transversals Continued In the figure, line l || line m. Find the measure of the angle. 2 2 is supplementary to angle 124°. m 2 + 124° = 180° – 124° m 2 = 56°

Parallel and Perpendicular Lines Additional Example 2 C: Finding Angle Measures of Parallel Lines Cut by Transversals Continued In the figure, line l || line m. Find the measure of the angle. 6 6 is supplementary to angle 6. m 6 + 124° = 180° – 124° m 6 = 56°

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

Parallel and Perpendicular Lines Check It Out: Example 2 B In the figure, line n || line m. Find the measure of the angle. 1 1 is supplementary to the 144° angle. m 1 + 144° = 180° – 144° m 1 = 36° 1 144° 3 4 5 6 7 8 m n

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

Parallel and Perpendicular Lines Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Parallel and Perpendicular Lines 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°

Parallel and Perpendicular Lines 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

Parallel and Perpendicular Lines 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°