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Transcript
3-2 Angles Formed by Parallel Lines and Transversals What you need……. PHONES AWAY Warm-Up Sheet Pencil/Pen Guided Notes Sheet from Yesterday Notebook Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Warm-Up 10/18 Identify each of the following. a. a pair of parallel segments BF || EJ b. a pair of skew segments BF and DE are skew. c. a pair of perpendicular segments BF FJ d. a pair of parallel planes plane FJH || plane BCD Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals • Task 1: On the bottom of the sheet from yesterday under the table we completed about Parallel lines, Parallel Planes and Skew lines, complete the section that says Examples! • You will have 8 minutes to get as much done as you can! • When finished, just hang tight… Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Goal: I can identify the types of angles formed by two lines and a transversal. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Interior or Exterior? How do you know? Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles 1 and 5 B. alternate interior angles 3 and 5 C. alternate exterior angles 1 and 7 D. same-side interior angles 3 and 6 Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Work Time!.. You may listen to music Work to complete the bottom portion of your worksheet on the Transversal side. You will have the rest of class to work on this and WHAT YOU DON’T FINISH IS HOMEWORK Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals What you need……. PHONES AWAY Warm-Up Sheet Pencil/Pen Notebook Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Warm-Up 10/19 Give an example of each angle pair from the figure. A. corresponding angles 1 and 3 B. alternate interior angles 2 and 7 C. alternate exterior angles 1 and 8 D. same-side interior angles 2 and 3 Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Objective Prove and use theorems about the angles formed by parallel lines and a transversal. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals True or false… If a transversal is perpendicular to two parallel lines, all eight angles are congruent. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Exit Ticket In order to leave today, you need to hand me a piece of paper that answers the following questions: 1. Do you feel like you met our goal for today? 2. How do you know? Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals For class, you need……. PHONES AWAY Warm-Up Sheet Pencil/Pen Notebook Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Warm-Up 10/20 Given m∠6 = 142°, find the measure of each missing angle. Give your reasoning. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Objective Prove and use theorems about the angles formed by parallel lines and a transversal. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals If l ll m, find the value of the missing variable. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals If l ll m, find the value of the missing variable. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals If l ll m, find the value of the missing variable. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals If l ll m, find the measure of each missing angle. Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals WORK TIME You will be given a packet that you need to work on today and tomorrow in class. Whatever you don’t finish after tomorrow is homework, DUE TUESDAY Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Example 1: Using the Corresponding Angles Postulate Find each angle measure. A. mECF x = 70 Corr. s Post. mECF = 70° B. mDCE 5x = 4x + 22 x = 22 mDCE = 5x = 5(22) = 110° Holt McDougal Geometry Corr. s Post. Subtract 4x from both sides. Substitute 22 for x. 3-2 Angles Formed by Parallel Lines and Transversals Example 2: Finding Angle Measures Find each angle measure. A. mEDG mEDG = 75° Alt. Ext. s Thm. B. mBDG x – 30° = 75° Alt. Ext. s Thm. x = 105 Add 30 to both sides. mBDG = 105° Holt McDougal Geometry 3-2 Angles Formed by Parallel Lines and Transversals Check It Out! Example 2 Find mABD. 2x + 10° = 3x – 15° Alt. Int. s Thm. x = 25 Subtract 2x and add 15 to both sides. mABD = 2(25) + 10 = 60° Substitute 25 for x. Holt McDougal Geometry