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lesson 3.1 Geometry.notebook
October 29, 2015
Warm Up
A
Identify each of the following.
1. points that lie in the same plane B
C
D
G
2. two angles whose sum is 180°
F
3. the intersection of two distinct intersecting lines
4. a pair of adjacent angles whose non­common sides are opposite rays
lesson 3.1 Geometry.notebook
October 29, 2015
Warm Up
A
Identify each of the following.
1. points that lie in the same plane A, B, C, D, F, G
C
D
2. two angles whose sum is 180°
<DCA and <ACB
B
G
F
3. the intersection of two distinct intersecting lines
Point C
4. a pair of adjacent angles whose non­common sides are opposite rays
Linear pair: <DCA and <ACB lesson 3.1 Geometry.notebook
October 29, 2015
3­1 Lines and Angles
GOALS
1) Identify parallel, perpendicular, and skew lines. 2) Identify the angles formed by two lines and a transversal.
Definitions~ 9 definitions
parallel lines
transversal
perpendicular lines
corresponding angles
skew lines
alternate interior angles
parallel planes
alternate exterior angles
same­side interior angles
lesson 3.1 Geometry.notebook
3­1 Lines and Angles
October 29, 2015
lesson 3.1 Geometry.notebook
3­1 Lines and Angles
October 29, 2015
lesson 3.1 Geometry.notebook
October 29, 2015
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
lesson 3.1 Geometry.notebook
October 29, 2015
Example 2: 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
lesson 3.1 Geometry.notebook
October 29, 2015
lesson 3.1 Geometry.notebook
Example 3: Classifying Pairs of Angles
Give an example of each angle pair.
A. corresponding angles
B. alternate interior angles
C. alternate exterior angles
D. same­side interior angles
October 29, 2015
lesson 3.1 Geometry.notebook
Example 4: Classifying Pairs of Angles
Give an example of each angle pair.
A. corresponding angles
B. alternate interior angles
C. alternate exterior angles
D. same­side interior angles
October 29, 2015
lesson 3.1 Geometry.notebook
October 29, 2015
Example 5: 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
lesson 3.1 Geometry.notebook
October 29, 2015
Your Turn!
Identify the transversal and classify the angle pair for
∠2 and ∠5 in the diagram.
lesson 3.1 Geometry.notebook
October 29, 2015
lesson 3.1 Geometry.notebook
October 29, 2015
lesson 3.1 Geometry.notebook
October 29, 2015
lesson 3.1 Geometry.notebook
Homework:
2nd/6th: Due Wednesday
1st/3rd/5th: Due Thursday 3.1 pg 149 #14­52 even October 29, 2015
lesson 3.1 Geometry.notebook
3­1 Lines and Angles
Homework for 3­1 due Friday! Page 149 #14­52 even October 29, 2015
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