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100515 AMT6 Day 1 Angle Relationships.notebook
October 05, 2015
Monday, October 5, 2015
Geometry, Period 3
Lesson Overview:
> Topic 6: Lines and Transversals
– Parallel lines and transversals
« Angle Relationships
1
100515 AMT6 Day 1 Angle Relationships.notebook
October 05, 2015
Warm Up: Solve for x
4x + 5x = 90
3x + 15 = 75
x+44+95=180
x + 16 = 4x ­5
2
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A list of angle relationships...
«
Corresponding Angles
«
Vertical Angles
«
Alternate Interior Angles
«
Alternate Exterior Angles
«
Consecutive Interior Angles
«
Consecutive Exterior Angles
«
Linear Pair
3
100515 AMT6 Day 1 Angle Relationships.notebook
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What do you recall from a previous topic regarding corresponding
angles?
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100515 AMT6 Day 1 Angle Relationships.notebook
October 05, 2015
Corresponding angles:
pairs of congruent angles formed at
matching corners of two parallel lines cut by a
transversal
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100515 AMT6 Day 1 Angle Relationships.notebook
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Vertical angles:
congruent pairs of opposite angles formed
by intersecting lines
6
100515 AMT6 Day 1 Angle Relationships.notebook
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Alternate Interior angles:
pairs of angles on opposite sides of the
transversal but inside the two parallel lines
(congruent)
4, 6
3, 5
7
100515 AMT6 Day 1 Angle Relationships.notebook
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Alternate Exterior angles:
pairs of angles on opposite sides of the
transversal but outside the two parallel lines
(congruent)
1, 7
2, 8
8
100515 AMT6 Day 1 Angle Relationships.notebook
October 05, 2015
Consecutive (Same-Side) Interior angles:
pairs of supplementary angles on the same
side of the transversal but inside the two
parallel lines
c, e
d, f
Consecutive (Same-Side) Exterior angles:
pairs of supplementary angles on the same
side of the transversal but outside the two
a, g
parallel lines
b, h
9
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Linear Pair angles:
a pair of adjacent angles that are
supplementary
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100515 AMT6 Day 1 Angle Relationships.notebook
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Use the following diagram to answer the questions.
Name the transversal.
Name all the pairs of alternate interior angles
Name all the pairs of corresponding angles.
Name all the pairs of alternate exterior angles.
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Find the measure of < 1
Angle Relationship?
Find the measure of < 2
Angle Relationship?
Find the measure of < 3
Angle Relationship?
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Solve for x.
What is the measure of the angle?
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100515 AMT6 Day 1 Angle Relationships.notebook
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Solve for x
Solve for x
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Homework: pp 76­77 Kagan 17
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