Download 3-1 Lines and Angles

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Angles
3-1
Lines
Angles
3-1 Lines
Warm Up
Lesson Presentation
Lesson Quiz
Holt Geometry
3-1 Lines and Angles
Warm Up
Identify each of the following.
1.
points that lie in the same plane
coplanar points
2. two angles whose sum is 180°
supplementary angles
3. the intersection of two distinct intersecting lines
point
4. a pair of adjacent angles whose non-common
sides are opposite rays
linear pair
Holt Geometry
3-1 Lines and Angles
Objectives
Identify parallel, perpendicular, and
skew lines.
Identify the angles formed by two lines
and a transversal.
Holt 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 Geometry
3-1 Lines and Angles
Holt 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 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 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 Geometry
3-1 Lines and Angles
Holt 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 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 Geometry
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 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 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 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 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 Geometry