Transcript Unit D Chapter 3.1 (Angles and Lines)

Drill: Thursday, 11/3
Identify each of the following with a word(s).
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
OBJ: SWBAT identify the angles formed by two lines
and a transversal.
andand
Angles
3-1
Lines
Angles
3-1 Lines
Warm Up
Lesson Presentation
Lesson Quiz
Holt McDougal
Geometry Geometry
3-1 Lines and Angles
Objectives
Identify parallel, perpendicular, and
skew lines.
Identify the angles formed by two lines
and a transversal.
Holt McDougal Geometry
3-1 Lines and Angles
Vocabulary
parallel lines
perpendicular lines
skew lines
parallel planes
transversal
corresponding angles
alternate interior angles
alternate exterior angles
same-side interior angles
Holt McDougal Geometry
3-1 Lines and Angles
In which of these items can you
identify parallel lines,
perpendicular lines, parallel
planes and perpendicular planes?
Holt McDougal Geometry
3-1 Lines and Angles
Geometry in the Real World
Holt McDougal Geometry
3-1 Lines and Angles
Geometry in the Real World
Holt McDougal Geometry
3-1 Lines and Angles
Holt McDougal Geometry
3-1 Lines and Angles
Helpful Hint
Segments or rays are parallel,
perpendicular, or skew if the lines
that contain them are parallel,
perpendicular, or skew.
Holt McDougal 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
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
Holt McDougal Geometry
3-1 Lines and Angles
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
Holt McDougal Geometry
3-1 Lines and Angles
What is the name of the line that
intersects these two lines?
Holt McDougal Geometry
3-1 Lines and Angles
Holt McDougal Geometry
3-1 Lines and Angles
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
Holt McDougal Geometry
3-1 Lines and Angles
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
Holt McDougal Geometry
3-1 Lines and Angles
F
A
C
I
G
H
Holt McDougal Geometry
B
D
3-1 Lines and Angles
Helpful Hint
To determine which line is the
transversal for a given angle pair,
locate the line that connects the
vertices.
Holt McDougal 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
transversal l
corr. s
B. 2 and 6
transversal n
alt. int s
C. 4 and 6
transversal m
alt. ext s
Holt McDougal 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.
Holt McDougal Geometry
3-1 Lines and Angles
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
Holt McDougal Geometry
3-1 Lines and Angles
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
Holt McDougal Geometry