parallel lines and transversals.notebook · 2018-08-30 · parallel lines and transversals.notebook...

Parallel lines and Transversals.notebook

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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

N

T

S

R

Q

P

O

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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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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Example 2: Find the value of x.


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Example 3: Find the values of x and y.


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Example 4: Find the values of x and y.


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Angle Relationships

Corresponding Angles:

Alternate Interior Angles:

Alternate Exterior Angles:

Consecutive Interior Angles:

congruent

congruent

congruent

supplementary


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January 13, 2015

M

N

T

S

R

Q

P

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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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2

2


2

Angle # Alternate Exterior

2


2



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3

3


3

Angle # Alternate Interior

3


3



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4

4


4


4


4



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5

5


5


5


5



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6

6


6


6


6



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January 13, 2015

parallel lines and transversals.notebook · 2018-08-30 · parallel lines and transversals.notebook...

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