Geometry B Name:______________________ Date: ___________
Chapter 3: Parallel and Perpendicular Lines
Essential Question: How is deductive reasoning used to make, investigate, and prove conjectures in the real world? How do reasoning and proofs lead to a better understanding of geometric concepts? Essential Question: How does writing 2-column proofs relate to drawing conclusions in real life? How do geometric relationships help solve real-world problems? Essential Question: How do geometric relationships and measurements help solve real-world problems?
Section 3.1: Lines and Angles
Are you ready?
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
Objectives of Lesson: ________________________________________
_________________________________________________________
_________________________________________________________
Chapters: 1, 3, 4, 5, 6, 7, 8 9, 10, 11
2
Parallel, Perpendicular and Skew
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
3
Example 2: 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
Angle Pairs Formed by a Transversal
4
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. same-side interior angles
Example 4: Give an example of each angle pair.
A. corresponding angles
B. alternate interior angles
C. alternate exterior angles
D. same-side interior angles
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
Helpful Hint ______________________________________________
_________________________________________________________
_________________________________________________________
5
Example 6: Identify the transversal and classify the angle pair 2 and 5
in the diagram.
Ready for a quiz?
smilardo.wordpress.com - homework: worksheets: link to book and more
