inf geo 3.3 & 3.4 session 9

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Transcript inf geo 3.3 & 3.4 session 9

Session 9
Warm-up
1. Name all the angles having point N
as their vertex. Don’t name the
same angle twice.MNP, MNL, LNP
2. MNL appears to be what type of
angle? acute
L
M
P
N
3.  MNP appears to be what type of
angle? obtuse
4. The m A is 100. Solve for x.
30
3x +10
A
* Notes on Angle Addition, Adjacent Angles,
and Linear Pairs of Angles
* Practice Workbook 3-3 and 3-4
* Work
* Quiz next class (3.1 – 3.4)
(study p.114 Quiz 1)
Tues/Wed
Quiz & 3.5
Thurs/Fri
3.6 & 3.7
Mon/Tues
Review Ch 3
Wed/Thurs
TEST CH 3 & 4.1
mRST  mTSP  mRSP
Why can’t you
name any of the
angles S?
T
R
S
P
Example 1
Find m1 if mRSP  78.
m1 + 48 = 78
R
1
T
48
S
P
m1 = 30
Example 2
M
N
42
2
Find m2 if mYJK  160.
m2 + 42 + 104 = 160
104
J
Y
K
m2 + 146 = 160
m2 = 14
Example 3
Find x if mALY  71.
2 x  (5x  8)  71
A
U
2x
(5x  8)
L
Y
7 x + 8 = 71
7x = 63
x = 9
Example 4
Angle Bisector cuts the angle
into 2 equal parts.
If FD bisects CFE and mCFE  70,
find m1 and m2.
C
D
1
F
2
E
70

2
35
B
A
1
F
C
D
E
L
G
3
K
H
I
J
A
1 2
B
3
C
Two angles are adjacent if they share a common
vertex and side, but have no common interior
points. SIDE BY SIDE…shoulder to shoulder.
NO
YES
Two adjacent angles are a linear pair if their
noncommon sides are opposite rays. They form a
straight line… SIDE BY SIDE…shoulder to shoulder.
1
2
Please Identify in your notes all LINEAR PAIRS
i
m
k
e
j
h
f
g
SOME POSSIBLE ANSWERS
i
m
k
e
j
h
f
g
MORE POSSIBLE ANSWERS
i
m
e
k
j
h
f
g
1. Determine
whether each
statement is true or
false.
1
2
1 and 2 form a linear pair.
2.
4
5
4 and 5 form a linear pair.
3.
6
3
6 and 3 are adjacent angles.
4.
C
8
7
A
T
7 and 8 are adjacent angles.
5.
C
8
7
A
T
CAT and 7 are adjacent angles.
Let’s Practice
Practice Workbook 3-4
B
A
C
G
D
F
E
Work
p. 108 11-23 and
p. 113 8-18, 20-27