Geometry Chapter 3.1 You$mean$lines$and$angles$can$ have ... · the relationships between lines and...
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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 Geometry Chapter 3.1 You mean lines and angles can have Relationships?
Transcript of Geometry Chapter 3.1 You$mean$lines$and$angles$can$ have ... · the relationships between lines and...
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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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APK Activity:
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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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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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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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