Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
Objective:I can identify parallel lines, skew lines, transversals, alternate interior angles, alternate exterior angles, corresponding angles and consecutive interior angles.
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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A
B
C
D
E
G
F
H
Parallel Lines Two lines in the same plane that do not intersect.
Skew Lines Two lines not in the same plane that do not intersect.
Parallel Skew
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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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.
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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Identify interior, exterior, and transversal
Interior
Exterior
Transversal
Interior
Interior
Interior
Interior
ExteriorExterior
ExteriorExterior
Transversal
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
1 Which of the following statements is false?
A A transversal is a line.
B A transversal must intersect at least two lines.
CThe lines the transversal intersects must be parallel to each other.
DThe lines a transversal intersects can be perpendicular to each other.
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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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
Consecutive Interior angles: interior angles on same side of the transversal.
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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More with Vertical Angles
Example One
Example Two
Example Three
Example Four
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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2 Form a pair of vertical angles using W. Which angle completes the pair?
A XB CC ZD Y
A BC D
X YW Z
Line 1
Line 2
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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More with Alternate Interior AnglesExample One
Example Two
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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3 Which angle forms a pair of alternate interiors with <C?
A XB DC YD W
A BC D
X YW Z
Line 1
Line 2
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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More with Same Side (Consecutive Interior) Angles
Example One
Example Two
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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4 Which angle forms a pair of consecutive interior angles with <C?
A XB DC WD Y
A BC D
X YW Z
Line 1
Line 2
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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More with Alternate Exterior AnglesExample One
Example Two
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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5 Which angle forms a pair of Alternate Exterior Angles with <A?
A XB BC WD Z
A BC D
X YW Z
Line 1
Line 2
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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More with Corresponding AnglesExample One
Example Two
Example Three
Example Four
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
6 Which angle forms a pair of corresponding angles with <A?
A XB BC WD Z
A BC D
X YW Z
Line 1
Line 2
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
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Label alternate interior, alternate exterior, corresponding , vertical, supplementary angles
corresponding
alternate interior
alternate exterior verticalsupplementary
corresponding
corresponding
alternate exterior
alternate exterior
alternate interior
alternate interior
supplementary
supplementary
verticalvertical
Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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