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Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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Objective:I can identify parallel lines, skew lines, transversals, alternate interior angles, alternate exterior angles, corresponding angles and consecutive interior angles.
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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
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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.
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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
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Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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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.
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Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
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.
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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
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Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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September 19, 2011
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Section 3.1 (Special angles formed by parallel lines cut by a transversal.notebook
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