10.2 find arc measures & 10.4 use inscribed angles and polygons essential questions: how do you...

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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?

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Page 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

10.2 Find Arc Measures &10.4 Use Inscribed Angles and

PolygonsEssential Questions:

How do you find the measure of an arc of a circle?

How do you find the measure of an inscribed angle?

Page 2: 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

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

Page 3: 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

Daily Homework Quiz

2.

Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure.

CBE

ANSWER major arc, 212 o

Page 4: 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

Daily Homework Quiz

3.

Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure.

BCE

ANSWER semicircle, 180 o

Page 5: 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

Daily Homework Quiz

4.

Describe each figure as a minor arc, major arc or a semicircle. Find the arc measure.

BCAEExplain why =~ .

ANSWER

BCAE =~

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 .

=~

AE BC

Page 6: 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

Daily Homework Quiz

5.

ACD AC

Two diameters of P are AB and CD.If m = 50 , find m and m . . AD o

ANSWER o310 ; 130 o

Page 7: 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

Daily Homework Quiz

ANSWER 38

Find the value of x .

1.

Page 8: 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

Daily Homework Quiz

2.

Find the value of x .

ANSWER 56

Page 9: 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

Daily Homework Quiz

3.

Find the value of x .

ANSWER 44

Page 10: 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

Daily Homework Quiz

4.

Find the value of each variable.

ANSWER x = 54; y = 20

Page 11: 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

Daily Homework Quiz

5.

Find the value of each variable.

ANSWER x = 5; y = 10

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