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§9.2 Angles & Arcs Definitions Naming Conventions Arc: Major Arc: B

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Presentation on theme: "§9.2 Angles & Arcs Definitions Naming Conventions Arc: Major Arc: B"— Presentation transcript:

1 §9.2 Angles & Arcs Definitions Naming Conventions Arc: Major Arc: B
Minor Arc: Semicircle: Naming Conventions When naming arcs, we use: This convention always indicates the ___________ path from A to B. To name a major arc or semicircle, we thus need ______ letters: B C A

2 Practice: Name the shaded arc in each picture
Practice: Name the shaded arc in each picture. Then tell whether it is a minor arc, major arc, or a semicircle. D B C A

3 Practice: Name the shaded arc in each picture
Practice: Name the shaded arc in each picture. Then tell whether it is a minor arc, major arc, or a semicircle. E H F G

4 Practice: Name the shaded arc in each picture
Practice: Name the shaded arc in each picture. Then tell whether it is a minor arc, major arc, or a semicircle. L N K M J

5 Definitions, Properties, Theorems, & Postulates
Central Angle Property of Central Angles Sum of Central Angles Theorem Arc Addition Postulate A C B

6 Theorem In the same circle, or in congruent circles, two arcs are congruent if and only if their corresponding central angles are congruent. A B C D

7 More Definitions Definitions Concentric circles
Two circles with the same ________, but different ________.

8 Practice. Find the indicated measure.
140º B C

9 Practice. Find the indicated measure.
K 90º L M J 100º

10 Practice. Find the indicated measure.
X 105º W Y Z

11 Practice. Find the indicated measure.
W R J 5xº L T


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