Given: 1 and 2 are complementary Prove: 3 and 4 are complementary Do Now Proof I can identify properties for geometric proof and be able to think logically to be able to complete algebraic and geometric reasoning proofs. Fill in the reasons of the given two-column proof. Given: 1 and 2 are complementary Prove: 3 and 4 are complementary m3 + m4 = 90° 3 and 4 are comp. v

Do Now: Identify each of the following. I can identify parallel, perpendicular, and skew lines. I can identify the angles formed by two lines and a transversal. Do Now: 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 Success Criteria: Today’s Agenda Identify special angle pairs Identify nonintersecting lines and planes Classify an angle pair Do Now Lesson Assignment

Chapter 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

Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments LM ||QR B. a pair of skew segments KN and PQ C. a pair of perpendicular segments NS  SP D. a pair of parallel planes plane NMR || plane KLQ

Check It Out! Example 2 Give an example of each angle pair. 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

Example 3: Identifying Angle Pairs and Transversals Helpful Hint: To determine which line is the transversal for a given angle pair, locate the line that connects the vertices. Example 3: Identifying Angle Pairs and Transversals Identify the transversal and classify each angle pair. A. 1 and 3 transversal l corr. s B. 2 and 6 transversal n alt. int s C. 4 and 6 transversal m alt. ext s

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.

Homework #22 On Your learning log FILL IN: D: What did you DO today? Success Criteria: CAN YOU? Identify special angle pairs Identify nonintersecting lines and planes Classify an angle pair Homework #22 pg 144-146 (17 pts) #11-24, 29, 36, 44 On Your learning log FILL IN: D: What did you DO today? L: What did you LEARN? I: What was INTERESTING? Q: What QUESTIONS do you have?

HW #22 pg 144-146 #11-24, 29, 36, 44

Lesson Quiz: Part I Identify each of the following. 1. a pair of parallel segments EH || FG 2. a pair of skew segments BF and EH 3. a pair of perpendicular segments CG  GH 4. a pair of parallel planes ABC and EFG

Lesson Quiz: Part II Identify each of the following. 5. one pair alternate interior angles EHG and HGK 6. One pair corresponding angles EHG and FGJ 7. one pair alternate exterior angles IHE and JGK 8. one pair same-side interior angles EHG and HGF

Check It Out! Example 1 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

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