Daily Check

1
Daily Check
are diameters. Find the indicated measures.
1) 2) 3) 4)
2
Warm-up
A
1. Let AM 8, BP 7, and CA 18. Find the
perimeter of the triangle.
N
M
50
C
P
3. MCY 270 Find BC.
B
2. Find ACB
20
B
A
M
312
20
90
B
24
C
C
Y
3
Homework Answers
1) B 2) 58 3) 140 4) 46 5) 63 6)
28 7) 123 8) 90 9) 42 10) 58 11)
48 12) 58 13) 42 14) 96 15) 180 16)
x 14, y 38 17) x 58, y 29 18) x 72, y
90
4
Math II
UNIT QUESTION What special properties are found
with the parts of a circle? Standard MM2G1,
MM2G2 Todays Question What other angle
relationships do we know for circles? Standard
MM2G3.b
5
6.5 Other Angles in a Circle
6
Time to make a Wheel of Formulas
7
Arc Angle Formulas
8
Case I Vertex is ON the circle
ANGLE
ARC
ARC
ANGLE
9
Ex. 1 Find m?1.
A
B
1
124
C
m?1 62?
10
Ex. 2 Find m?1.
1
84
m?1 42?
11
202
Ex. 3 Find m?1.
1
m?1 79?
12
Case II Vertex is inside the circle But is
NOT the center
A
ARC
B
ANGLE
D
ARC
C
Looks like a PLUS sign!
13
Ex. 4 Find m?1.
93
A
B
1
D
C
113
m?1 103?
14
Ex. 5 Find mQT.
N
Q
84?
92?
M
T
15
Case III Vertex is outside the circle
C
ANGLE
small ARC
A
D
LARGE ARC
B
LARGE ARC
LARGE ARC
small ARC
ANGLE
small ARC
ANGLE
16
Ex. 6 Find m?1.
1
15
A
D
65
B
m?1 25?
17
Ex. 7 Find mAB.
A
27
70
B
18
Ex. 8 Find m?1.
260
1
m?1 80?
19
ClassworkWS 6.5

• Use your wheel.

20
HomeworkPage 214 1-15, 19

• Use your wheel.