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Looking at angle pairs and what happens when lines are parallel.
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Warm-upName the angle pair relationships.
123
4
56
78
1 and 6 - 2 and 7 - 3 and 5 -4 and 5 - 6 and 7 - 1 and 4 -
CorrespondingAlternate ExteriorAlternate InteriorConsecutive InteriorLinearVertical
Benchmark #12!!
Wednesday, October 13, 2010
Geometry Notes3.1 - Properties of Parallel Lines
Wednesday, October 13, 2010
Parallel Line Theorems
Wednesday, October 13, 2010
Corresponding Angles Postulate
If two lines are parallel (and cut by a transversal), then the corresponding angles are congruent. (Postulate 3-1)
Wednesday, October 13, 2010
Alternate Interior Angles Theorem
If two lines are parallel, then the alternate interior angles are congruent.
Wednesday, October 13, 2010
Alternate Exterior Angles Theorem
If two lines are parallel, then the alternate exterior angles are congruent.
Wednesday, October 13, 2010
Same-Side Interior Angles Theorem
If two lines are parallel, then the consecutive interior angles are supplementary.
Also works with Same-Side Exterior Angles
Wednesday, October 13, 2010
So which is which?≅ (Congruent)
•corresponding•alternate
✤interior✤exterior
•vertical
adds to 180 (supplementary)
•same-side✤interior✤exterior
•linear
Wednesday, October 13, 2010
ExamplesExample 1:
Find the missing angles.
x
y75°
x=75° because it is corresponding with 75°.
y=75° because it is alternate exterior
with x.
Example 2: Solve for x.
5x-24
89
89 + 5x-24 = 180°(Consecutive angles are
Supplementary)5x + 65 = 180
5x = 115x = 23°
Wednesday, October 13, 2010
How to set it up:
Decide what kind of angle relationshipDecide ≅ or _ + _ = 180Set it and Solve itCheck it
Wednesday, October 13, 2010
Assignments:
Angle Pairs Worksheet
#16 p. 131 #1-13 (odd), 14-17, 19-22
Wednesday, October 13, 2010
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