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2016 Aug 26 Parallel Lines.notebook
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August 28, 2016
1. Warm up Complete the frayer model and 1 and 2
2. Quiz
3. Parallel Lines
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Vertical Angles are congruentOpposite of each other same meausrement
Adjencent anglesLinear pairsangles in a triangle 1
23
4
1 and 2 3 and 4
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angle
congruent
measure of the angle
perpendicular
parallel
parallel
congruent
Parallel lines
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1 and 5, 2 and 6
4 and 8, 3 and 71 and 8
1 and 4
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1 2
3 4
5 6
7 8
1 2
3 4
5 6
7 8
Parallel lines intersected by a transversal
Parallel lines intersected by a transversal
same side interior angles are on the same side of that transversal.
same side interior angles are supplemental
same side interior angles
alternate interior anglesalternate interior angles are on opposite sides of the transversal.
alternate interior angles are conguent
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1. angle 1 and angle 3 are supplemental bythe definition of supplement angles (linear pairs).
2. angle 2 and angle 3 are supplemental by
the definition of supplement angles(linear pairs).
3. angle 2 and 4 are supplemental by
definition of supplemental angles (linear pairs)
5. By substitution we can make 3 equations into
2 equations because they equal 180
6. Because the equation have the same terms on the
both sides of the equation signs the values can be
canceled (subtraction property. The cancellation leave two equations
that represent vertical angles.
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