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Parallel lines and Transversals.notebook
1
January 13, 2015
© 2008 SMART Technologies ULC. All rights reserved.
Extraordinary made simple TM
Parallel Lines and Transversals
2009
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Vocabulary
Transversal: a line that intersects two parallel lines
Interior Angles: Formed on the inside of two lines cut by a transversal
Exterior Angles: Formed on the outside of two lines cut by a transversal.
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Vocabulary
Alternate interior angles: interior angles on opposite sides of the transversal-not adjacent
Alternate exterior angles: exterior angles on opposite sides of the transversal-not adjacent
Corresponding Angles: One interior and one exterior angle formed on the same side of the transversal
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M
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Label alternate interior, alternate exterior, corresponding , vertical, supplementary angles
corresponding
alternate interior
alternate exterior verticalsupplementary
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2
1 Parallel Lines are lines that never intersect
A transversal is a line that cuts across two or more (usually parallel) lines.
Lines
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Explore lines and angles
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Interior, exterior and alternate angles
Interior angles Exterior angles Alternate angles
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Identify the alternate interior angles
Alternate interior angles are congruent.
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Identify the alternate exterior angles
Alternate exterior angles are congruent.
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Corresponding and vertical angles
2
Identify a corresponding angle to angle 2
Identify a vertical angle to angle 8
8
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3
5
Adjacent angles
Identify an adjacent angle to angle 3
Identify an angle which is supplementary to angle 5
Adjacent angles share a side and a vertex. Supplementary angles sum to 180o.
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Alternate interior CorrespondingVertical AdjacentAlternate exterior
C
A V
EGA
EGB GHD&
BGH
AGH
GHC DHF
CHF
&
&
&
&
GHC
EGB
EGB
EGA &
A B
C D
E
F
G
H
AI
AE
C
AE
A
AI
V
A
?
?
?
?
?
?
Classify these pairs of angles
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January 13, 2015
3.2 Use Parallel Lines and Transversals
Example 1: Find the other angle measures.2.) 3.)
4.) 5.)
6.) 7.)
8.)
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3.2 Use Parallel Lines and Transversals
Example 2: Find the value of x.
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3.2 Use Parallel Lines and Transversals
Example 3: Find the values of x and y.
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3.2 Use Parallel Lines and Transversals
Example 4: Find the values of x and y.
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3.2 Use Parallel Lines and Transversals
Angle Relationships
Corresponding Angles:
Alternate Interior Angles:
Alternate Exterior Angles:
Consecutive Interior Angles:
congruent
congruent
congruent
supplementary
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January 13, 2015
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January 13, 2015
M
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INTERIOREXTERIOR
EXTERIORTRANSVERSAL
Identify interior, exterior, and transversal
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Click the buttons to check the relationships between the angles.
11 22
33 44
55 66
77 88
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The following page(s) contains the answers to the tasks in the lesson activity.
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Angle # Supplementary
1
1
Angle # Corresponding Angles
1
Angle # Alternate Exterior
1
Angle # Vertical Angles
1
Click the cell shade to check your answers
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January 13, 2015
Angle # Supplementary
2
2
Angle # Corresponding Angles
2
Angle # Alternate Exterior
2
Angle # Vertical Angles
2
Click the cell shade to check your answers
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January 13, 2015
Angle # Supplementary
3
3
Angle # Corresponding Angles
3
Angle # Alternate Interior
3
Angle # Vertical Angles
3
Click the cell shade to check your answers
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January 13, 2015
Angle # Supplementary
4
4
Angle # Corresponding Angles
4
Angle # Alternate Interior
4
Angle # Vertical Angles
4
Click the cell shade to check your answers
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January 13, 2015
Angle # Supplementary
5
5
Angle # Corresponding Angles
5
Angle # Alternate Interior
5
Angle # Vertical Angles
5
Click the cell shade to check your answers
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January 13, 2015
Angle # Supplementary
6
6
Angle # Corresponding Angles
6
Angle # Alternate Interior
6
Angle # Vertical Angles
6
Click the cell shade to check your answers
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January 13, 2015