Daily Check
17
and KM LN mO L m O PM mNOL mONM 50° 75° K L M N 0 P are diameters. Find the indicated measures. 1) 2) 3) 4)
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Daily Check. are diameters. Find the indicated measures. 1) 2) 3) 4). Warm-up. 2. Find ABC. 1. Find AB. A. B. 24. C. Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: - PowerPoint PPT Presentation
Transcript of Daily Check
and KM LN
mOL
m OPM
mNOL
mONM
50°
75°
K L
MN
0
P
are diameters. Find the indicated measures.
1)
2)
3)
4)
Warm-up
24
A
B
C
1. Find AB 2. Find ABC
Math II
UNIT QUESTION: What special properties are found with the parts of a circle?Standard: MM2G1, MM2G2
Today’s Question:What other angle relationships do we know for circles?Standard: MM2G3.b
6.5 Other Angles in a Circle
Case I: Vertex is ON the circle
ANGLE = ARC2
ANGLE
ARCANGLE
ARC
Ex. 1 Find mABC. AB
C124°
mABC = 62
Ex. 2 Find mDEF.
84°
mDEF = 42
D
E
F
Ex. 3 Find mGHI. 202°
mGHI = 79
GH
I
Case II: Vertex is inside the circleA
B
CD
ANGLE = (ARC + ARC)2
ANGLE
ARC
ARC
Ex. 4 Find mE. AB
CD
E
93°
113°
m1 = 103
Ex. 5 Find mQT. NQ
TM
9284
mQT = 100
Case III: Vertex is outside the circle
A
B
C
D
ANGLE = (Large ARC Small ARC)2
ANGLE
LARGE ARC
small
ARC
ANGLELARGE
ARC
small ARC sm
all ARCLARGE
ARC
ANGL
E
A
D
C
Ex. 6 Find mABD.
65°
15°
m<ABD =
25 degrees
B
A
B
Ex. 7 Find mAB.
27°
70°
mAB = 16 degrees
A
B
Ex. 8 Find the value of x.
61°
(10x+1)
mAB = 16 degrees
(5x-1)
x
Ex. 9 Find mx.26
0°
m<x = 80 degrees
HomeworkBook pg 214-215
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