Download 2.2 Angle Bisectors Algebra Problem - Parkway C-2

Geometry Section: 2.2 Angle Bisectors
Algebra Problem of the Day: Solve
1. 2(x + 5) = x + 8
2. 7(x + 2) - 5x = 3(x - 9) -2
Sep 9­9:12 PM
Today's Essential Question: What happens when I bisect an angle?
Opener: Activity on p. 60
Sep 9­9:14 PM
1
Sep 9­9:16 PM
Sep 9­9:16 PM
2
Concept 1: Angle Bisectors
T
Angle Bisector
F
I
G
GT is the angle bisector.
A ray that divides
an angle into 2
congruent angles.
<FGT ≅ <IGT
Sep 9­9:17 PM
Ex. 1: Matching arc identify congruent angles.
Name 2 sets of congruent angles in this picture.
S
D
R
C
A
U
B
L
Sep 7­1:56 PM
3
Ex 2: HK bisects <GHJ. Find m<GHK and M<KHJ.
a)
J
K
52
H
G
b)
K
G
J
H
c)
K 161
G
H
J
Sep 7­2:01 PM
Concept 2: Use Angle Bisectors
Ex #1: MP bisects <LMN and <LMP = 46 degrees.
a) Find m< PMN and m<LMN
b) Determine whether <LMN is acute,
right, obtuse, or straight. Explain.
L
P
M
N
Sep 9­9:22 PM
4
Ex #2: AB bisects <FAH and m<BAF = 58 degrees.
a) Find m<HAB and m<FAH.
F
A
b) Determine whether <FAH is acute,
right, obstuse, or straight.
B
H
Sep 7­2:10 PM
Closure: Using Algebra with Angle Measures Ex. 1: If RQ bisects <PRS, find x.
Q
P
85
R
(6x + 1)
S
Sep 9­9:25 PM
5
C
B
Ex. 2: If BD bisects <ABC, find x.
9x
(8x+3)
A
D
Sep 7­2:18 PM
Learning Opportunity
p. 64­66 #1­21 odd, 28­30, 33­47 odd
Sep 9­9:27 PM
6