Gch3 l1
- 1. Holt Geometry 3-1 Lines and Angles3-1 Lines and Angles Holt Geometry Warm UpWarm Up Lesson PresentationLesson Presentation Lesson QuizLesson Quiz
- 2. Holt Geometry 3-1 Lines and Angles Warm Up Identify each of the following. 1. points that lie in the same plane 2. two angles whose sum is 180° 3. the intersection of two distinct intersecting lines 4. a pair of adjacent angles whose non-common sides are opposite rays coplanar points supplementary angles point linear pair
- 3. Holt Geometry 3-1 Lines and Angles Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal. Objectives
- 4. Holt Geometry 3-1 Lines and Angles parallel lines perpendicular lines skew lines parallel planes transversal corresponding angles alternate interior angles alternate exterior angles same-side interior angles Vocabulary
- 5. Holt Geometry 3-1 Lines and Angles
- 6. Holt Geometry 3-1 Lines and Angles Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew. Helpful Hint
- 7. Holt Geometry 3-1 Lines and Angles Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments B. a pair of skew segments C. a pair of perpendicular segments D. a pair of parallel planes LM ||QR KN and PQ NS ⊥ SP plane NMR || plane KLQ
- 8. Holt Geometry 3-1 Lines and Angles Check It Out! Example 1 Identify each of the following. a. a pair of parallel segments b. a pair of skew segments d. a pair of parallel planes c. a pair of perpendicular segments BF || EJ BF and DE are skew. BF ⊥ FJ plane FJH || plane BCD
- 9. Holt Geometry 3-1 Lines and Angles
- 10. Holt Geometry 3-1 Lines and Angles Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles ∠1 and ∠5 D. same-side interior angles ∠3 and ∠5 ∠1 and ∠7 ∠3 and ∠6
- 11. Holt Geometry 3-1 Lines and Angles Check It Out! Example 2 Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles ∠1 and ∠3 D. same-side interior angles ∠2 and ∠7 ∠1 and ∠8 ∠2 and ∠3
- 12. Holt Geometry 3-1 Lines and Angles To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. Helpful Hint
- 13. Holt Geometry 3-1 Lines and Angles Example 3: Identifying Angle Pairs and Transversals Identify the transversal and classify each angle pair. A. ∠1 and ∠3 B. ∠2 and ∠6 C. ∠4 and ∠6 transversal l corr. ∠s transversal n alt. int ∠s transversal m alt. ext ∠s
- 14. Holt Geometry 3-1 Lines and Angles Check It Out! Example 3 Identify the transversal and classify the angle pair ∠2 and ∠5 in the diagram. transversal n same-side int. ∠s.
- 15. Holt Geometry 3-1 Lines and Angles Lesson Quiz: Part I Identify each of the following. 1. a pair of parallel segments 2. a pair of skew segments 3. a pair of perpendicular segments 4. a pair of parallel planes EH || FG BF and EH CG ⊥ GH ABC and EFG
- 16. Holt Geometry 3-1 Lines and Angles Lesson Quiz: Part II Identify each of the following. 5. one pair alternate interior angles 6. One pair corresponding angles 7. one pair alternate exterior angles ∠EHG and ∠HGK 8. one pair same-side interior angles ∠EHG and ∠FGJ ∠IHE and ∠JGK ∠EHG and ∠HGF