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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:

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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
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



Case i vertex is on the circle
Case I:Vertex is ON the circle

ANGLE

ARC

ARC

ANGLE


Ex. 1 Find mABC.

A

B

124°

C

mABC = 62


Ex. 2 Find mDEF.

E

D

84°

mDEF = 42

F


202°

Ex. 3 Find mGHI.

G

H

mGHI = 79

I


Case II:Vertex is inside the circle

A

ARC

B

ANGLE

D

ARC

C

Looks like a PLUS sign!


Ex. 4 Find mE.

93°

A

B

E

D

C

113°

m1 = 103


Ex. 5 Find mQT.

mQT = 100

N

Q

84

92

M

T


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


Ex 6 find m abd
Ex. 6 Find mABD.

B

15°

A

C

65°

m<ABD =

25 degrees

D


Ex 7 find m ab
Ex. 7 Find mAB.

mAB = 16 degrees

27°

A

70°

B


Ex 8 find the value of x
Ex. 8 Find the value of x.

mAB = 16 degrees

61°

A

(5x-1)

(10x+1)

B


Ex 9 find m x
Ex. 9 Find mx.

260°

x

m<x = 80 degrees


Homework book pg 214 215 1 19 odd

HomeworkBook pg 214-215#1-19 odd


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