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10.2 Find Arc Measures & 10.4 Use Inscribed Angles and Polygons

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Presentation on theme: "10.2 Find Arc Measures & 10.4 Use Inscribed Angles and Polygons"— Presentation transcript:

1 10.2 Find Arc Measures & 10.4 Use Inscribed Angles and Polygons
Essential Questions: How do you find the measure of an arc of a circle? How do you find the measure of an inscribed angle?

2 Daily Homework Quiz Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure. 1. BC ANSWER minor arc, 32 o

3 Daily Homework Quiz Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure. 2. CBE ANSWER major arc, 212 o

4 Daily Homework Quiz Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure. 3. BCE ANSWER semicircle, 180 o

5 Daily Homework Quiz Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure. 4. Explain why AE = ~ BC . ANSWER BC AE = ~ m AFE = m BFC because the angles are vertical angles, so AFE BFC.Then arcs and are arcs that have the same measure in the same circle. By definition

6 Two diameters of P are AB and CD.If m = 50 , find m and m . . AD 5.
Daily Homework Quiz AC Two diameters of P are AB and CD.If m = 50 , find m and m . AD o 5. ACD ANSWER o 310 ; 130

7 Daily Homework Quiz Find the value of x . 1. ANSWER 38

8 Daily Homework Quiz Find the value of x . 2. ANSWER 56

9 Daily Homework Quiz Find the value of x . 3. ANSWER 44

10 Daily Homework Quiz Find the value of each variable. 4. ANSWER x = 54; y = 20

11 Daily Homework Quiz Find the value of each variable. 5. ANSWER x = 5; y = 10


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