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October 11, 2012
CFU:
What are we identifying today?
What are we doing today?
Learning Objective:By the end of the lesson students will be able to Identify the Relationships between lines and Angles formed by Transversals
GeometryChapter 3.1
You mean lines and angles can have Relationships?
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October 11, 2012
APK Activity:
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October 11, 2012
Importance:
1. We will use line and angle relationships in most chapters for the remainder of the school year.
2. CST
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Parallel Lines
Skew Lines
Parallel Planes
2 Lines are parallel if they are coplanar and do not intersect
2 Lines that are not coplanar and do not intersect
2 Planes that do not intersect
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October 11, 2012
Concept Deveplopment:Today you will identify the relationships between lines and angles formed by transversals.
Relationships between lines
CFU:
1. (True or False) Parallel lines are coplanar and never intersect.
2. (True of False) A transversal intersects two lines at the same point.
3.Draw two parallel lines and one transversal.
4. Name the four angle relationships formed by two lines and a transversal.
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Relationships between angles formed by a transversal
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Skill Development:Today you will identify the relationships between lines and angles formed by transversals.
Identify Angle Relationshipsformed by a Transversal
interiorinterior
exterio
r
exterio
rext
erior
exterio
r
Corresponding Angles - same side, one exterior and one interior
Alternate Exterior Angles - different sides, both exterior angles
Alternate Interior Angles - different sides, both interior angles
Consecutive Interior Angles - same side, both interior angles
NTG example 2, p. 51
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October 11, 2012
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October 11, 2012
Skill Development:Today you will identify the relationships between lines and angles formed by transversals.
Identify Line Relationships
Parallel Lines - same plane (coplanar), never touch
Skew Lines - different plane (non coplanar), never touch
Parallel Planes - never touch
Perpendicular lines - intersect and create a 90 deg angle
Transversal - Intersect two or more lines in different points.
Interior area
Exterior area
interior
interior
exterio
r
exterio
r
exterio
rexterio
r
NTG example 1, p. 50
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Closure:
1. What are we identifying today?
2. Why is this important?
3. Answer the following question:
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3 4 5
6. Name a pair of corresponding angles.
7. Name a pair of alternate interior angles.
8. Name a pair of alternate exterior angles.
9. Name a pair of consecutive interior angles.
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