Lesson 2-Properties of Parallel Lines.notebook · Lesson 2Properties of Parallel Lines.notebook 3...
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Lesson 2Properties of Parallel Lines.notebook 1 February 06, 2015 Parallel Lines and Transversals
Transcript of Lesson 2-Properties of Parallel Lines.notebook · Lesson 2Properties of Parallel Lines.notebook 3...
Lesson 2Properties of Parallel Lines.notebook
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Parallel Lines and Transversals
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Alternate Interior Angles<3, <6<4, <5
Alternate Exterior Angles<1, <8<2, <7
Consective Interior Angles(SameSide interior Angles)
<3, <5<4, <6
Corresponding Angles<1, <6 <2, <5<4, <7 <3, <8
Recall...
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t
123
4
56
7 89 10
1112
mn
Name the transversal and the special pair name1. <2, <62. <3, <113. <4, <104. <2, <105. <7, <126. <8, <57. <9, <10
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__________ 1. < 1 & < 3__________ 2. < 6 & < 7__________ 3. < 2 & < 7__________ 4. < 10 & < 11__________ 5. < 12 & < 19__________ 6. < 1 & < 8__________ 7. < 4 & < 15__________ 8. < 6 & <16__________ 9. < 17 & <3__________ 10. < 20 & < 2__________ 11. <20 & < 5
Classify each pair of angles as alternate interior, alternate exterior, corresponding, consecutive interior, consecutive exterior, or None.
Try this
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Postulates and Theorems:
1) corresponding angles are congruent.
2) alternate interior angles are congruent.
3) alternate exterior angles are congruent.
4) consecutive interior angles are supplementary.
5) If a line is perpendicular to 1 of 2 parallel lines, then it is perpendicular to the other.
If 2 parallel lines are cut by a transversal, then the...
PROPERTIES OF PARALLEL LINES
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Label all of the missing angle measures.
135o
95o>
>
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m<1= 4x 10 and m<8=2x +22
1 2
3 4
5 6
7 8
Find the measures of all missing angles if...
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6y
13y 10
9x +12
Find x and y:
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(8x + 4)o
l
m
Find the value of x that makes l // m.
(9x 11)o
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v s
B
T
U
Find x and m < VST so that l // m
(2x+35)o
(13x5)o
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6A
C
B
D
E
F
G
H
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2
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4
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Given the following info; which lines are // and why?
<1 <2
<5 <6<6 and <8 are supplementary<2 and <3 are supplementary
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Prove XW || YZ using 2 methods
< WXY = 124o <ZYX = 56o
X(1,0)
W(3, 3)Z(2,3)
Y(4,0)
124o 56o
Slope:
Angles:
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p q
1
32
4
5
6
7
8
If p // q; m<1 = 78 0 and m<2 = 470, then find the measure of each angle.
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3x + 5
y + 8
6x 14
Find the values of x and y.
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y + 12
y18x z 900
Find the values of x, y and z.
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l m
n
p
14z 2x+5
3y + 8
980
l // m and n //pFind the values of x, y and z given:
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430
330
x0
If k // m, then find x.
k
m
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Classwork/Homework
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