Free Printable Lecture on Circles; Inscribed Angle and Arc

1.

inscribed angle: an angle with its vertex on the _____________ of the circle

a)

center

b)

edge

2.

The intercepted arc of an inscribed angle is ___________________ the measure of the inscribed angle.

a)

congruent to

b)

half

c)

double

d)

supplementary to

3.

Which phrases completes this theorem correctly?

The measure of an inscribed angle equals ....

a)

half the measure of the intercepted arc.

b)

twice the measure of the intercepted arc.

c)

the measure of the intercepted arc.

4.

Which phrase completes this theorem correctly?

If two inscribed angles intersect the same arc, then ...

a)

they are congruent

b)

they are similar

c)

they are right angles

5.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ ABC$

a)

central angle

b)

inscribed angle

c)

neither

6.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ ACB$

a)

central angle

b)

inscribed angle

c)

neither

7.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ FAC$

a)

central angle

b)

inscribed angle

c)

neither

8.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ BAC$

a)

central angle

b)

inscribed angle

c)

neither

9.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ DEA$

a)

central angle

b)

inscribed angle

c)

neither

10.

Determine if the angle is a central angle, inscribed angle or neither.
$\angle ACB$

a)

central angle

b)

inscribed angle

c)

neither

11.

Determine if the arc is a major arc, minor arc or semicircle.

arc $AC$

a)

major arc

b)

minor arc

c)

semicircle

12.

Determine if the arc is a major arc, minor arc or semicircle.

arc $ABC$

a)

major arc

b)

minor arc

c)

semicircle

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

16.

What is the measure of $\angle BAC$ ?

a)

$m\angle BAC\ =90$

b)

$m\angle BAC\ =180$

c)

$m\angle BAC\ =360$

17.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

18.

Which corollary is illustrated by this example?

a)

If a quadrilateral is inscribed in a circle, then opposite angles are supplementary.

b)

Arcs are congruent if and only if their corresponding central angles are congruent.

c)

An angle inscribed in a semicircle is a right angle.

19.

Find the value of x

a)

100

b)

105

c)

95

d)

90

20.

Solve for x.

a)

5

b)

20

c)

40

d)

85

21.

Angle L measures

a)

145^o

b)

45^o

c)

90^o

d)

35^o

22.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

23.

The measure of arc XW is

a)

45

b)

90

c)

135

d)

67.5

24.

Which two sets of angles in this diagram are congruent?

a)

$\angle ABD\ \cong\ \angle DCA$

b)

$\angle BDC\ \cong\ \angle BAC$

c)

$\angle ACD\ \cong\ \angle BAC$

d)

$\angle CPD\ \cong\ \angle BPC$

25.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

26.

What is x?

a)

15

b)

23

c)

2

d)

92

Lecture on Circles; Inscribed Angle and Arc

Total questions: 26

Worksheet time: 2hrs 37mins

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