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Unit #1, Concept #3 Angles and their Measurements

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- What are angles and how are they classified?
- How are the measures of angles used to determine their congruency?
- What is angle addition and how is it used?

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With your partner…

Come up with a list of some things that you remember about angles.

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- Is formed by two rays with the same endpoint.
- The two rays are the sides of the angles. The endpoint is called the vertex of the angle

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- 1
- Naming Angles

C

B

A

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- OA is paired with 0 and OB is paired with 180.
- If OC is paired with x and OD is paired with y, then m<COD = |x – y|.

D

C

y

x

A

B

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- Find the measure of BOD

D

C

A

B

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- Find the measure of AOD

D

C

A

B

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Types of Angles

- Acute angles - an angle whose measure is between 0º and 90º.
- Right angle - an angle whose measure is 90º.

- Obtuse angle - an angle whose measure is between 90º and 180º.
- Straight angle - an angle whose measure is 180º

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- Classify each angle AOY
- as right, acute, obtuse or straight.

Y

X

Z

A

B

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- Classify each angle BOY
- as right, acute, obtuse or straight.

Y

X

Z

A

B

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- Classify each angle BOA
- as right, acute, obtuse or straight.

Y

X

Z

A

B

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- Classify each angle XOZ
- as right, acute, obtuse or straight.

Y

X

Z

A

B

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Y

X

Z

A

B

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- What did the segment addition postulate state?

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- If point B lies in the interior of AOC, then
- m AOB + m BOC = m AOC.
- C
- B
- O
- A

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- m AOB = 54
- m AOC = 76 Find m BOC.
C

B

O

A

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- m COB = 2x + 6
- m AOB = 5x – 11 and m AOC =79
C

B

O find x

A

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- Find the measure of angle 1

153°

1

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- Find the value of x.

(3x + 5)°

(9x + 7)°

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- Are angles with the same measure.

1

2

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What can you deduce from this diagram?

- A D
- B E
- C

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What can you deduce from this diagram?

- A D
- B E
- C

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- Journal Entry
- What are angles and how are they classified?
- 2. How are the measures of angles used to determine their congruency?
- 3. What is angle addition and how is it used?

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- Page 30 – 32
- # 17 – 23 odd, 24 – 28 all, 47, 48, 56-67, 70, 75

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- What are angles and how are they classified?
- How are the measures of angles used to determine their congruency?
- What is angle addition and how is it used?

Free Template from www.brainybetty.com