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Special angles and Parallel Lines Day 2.notebook
1
September 20, 2011
Special angles and Parallel Lines Day 2.notebook
2
September 20, 2011
Alternate interior Corresponding Vertical
AdjacentAlternate exterior
C
A
V
EGA
EGB GHD&
BGH
AGH
GHC DHF
CHF
&
&
&
&
GHC
EGB
EGB
CHG &
A B
C D
E
F
G
H
AI
AE
C
AE
A
AI
V
A
?
?
?
?
?
?
Bell Ringer #1 Classify these pairs of angles
1.2.3.4.5.6.
SS Same SideInterior
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
Explore lines and angles
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
If two parallel lines are cut by a transversal, then the following pairs of angles are congruent.
1. Corresponding Angles
2. Alternate Interior Angles
3. Alternate Exterior Angles
1 234
5 678
If two parallel lines are cut by a transversal, then same side (consecutive interior) angles are supplementary.
Special angles and Parallel Lines Day 2.notebook
5
September 20, 2011
1 87
65 43 2
910q
p
In the figure at the right p is parallel to q. Find the measure of each angle. <1=78, <2=47
1. <3 2. <4
3. <5 4. <6
5. <7 6. <8
7. <9 8. <10
Special angles and Parallel Lines Day 2.notebook
6
September 20, 2011
Find the values of x and y in each figure.
3x+5
y+8
6x14
9y5x
1.
2.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
Find the values of x and y in each figure.
8x+40 7y
6x 3y10
x
y18
z
y+12
3.
4.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
1 A transversal intersects a pair of parallel lines. Which of the following must be true?
A The corresponding angles formed are adjacent.
B The corresponding angles formed are complementary.
C The corresponding angles formed are supplementary.
D The corresponding angles formed are congruent.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
2 Which angle is always supplementary to D?
A AB XC ZD Y
A BC D
X YW Z
Line 1
Line 2
Line 1 is parallel to Line 2.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
3 Which angle is always congruent to X?
A AB BC YD W
A BC D
X YW Z
Line 1
Line 2
Line 1 is parallel to Line 2.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
4 The measure of A is 60o. What is the measure of Z?
A 30o
B 60o
C 100o
D 120o
A BC D
X YW Z
Line 1
Line 2
Line 1 is parallel to Line 2.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
5 A is congruent to Y. What is the measure of Z?
A 45o
B 60o
C 90o
D 120o
A BC D
X YW Z
Line 1
Line 2
Line 1 is parallel to Line 2.
Special angles and Parallel Lines Day 2.notebook
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September 20, 2011
