1. 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

2. 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

3. 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

5. 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

7. 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

8. 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

9. 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.

10. 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 (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?

11. HW #22 pg #11-24, 29, 36, 44

12. 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

13. 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

15. 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

16. 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