Quiz about Angles and Intercepted Arcs

Question 1

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

Accepted Answer

edge

Answer

center

Question 2

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

Accepted Answer

double

Answer

congruent to

Answer

half

Answer

supplementary to

Question 3

Which phrases completes this theorem correctly?

The measure of an inscribed angle equals ....

Accepted Answer

half the measure of the intercepted arc.

Answer

twice the measure of the intercepted arc.

Answer

the measure of the intercepted arc.

Question 4

Which phrase completes this theorem correctly?

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

Accepted Answer

they are congruent

Answer

they are similar

Answer

they are right angles

Question 5

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

Accepted Answer

central angle

Answer

inscribed angle

Answer

neither

Question 6

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

arc $$AC$$

Accepted Answer

<html><head></head><body>minor arc</body></html>

Answer

<html><head></head><body>major arc</body></html>

Answer

<html><head></head><body>semicircle</body></html>

Question 7

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

arc $$ABC$$

Accepted Answer

<html><head></head><body>major arc</body></html>

Answer

<html><head></head><body>minor arc</body></html>

Answer

<html><head></head><body>semicircle</body></html>

Question 8

Question 8.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Question 9.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 10

Find the measure of arc AB.

Accepted Answer

68

Answer

17

Answer

34

Answer

146

Question 11

What is the measure of $$\angle BAC$$ ?

Accepted Answer

$$m\angle BAC\ =90$$

Answer

$$m\angle BAC\ =180$$

Answer

$$m\angle BAC\ =360$$

Question 12

Find the measure of arc AB.

Accepted Answer

68 degrees

Answer

17 degrees

Answer

34 degrees

Answer

146 degrees

Question 13

Which corollary is illustrated by this example?

Accepted Answer

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

Answer

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

Answer

An angle inscribed in a semicircle is a right angle.

Question 14

Find the value of x

Accepted Answer

105

Answer

100

Answer

95

Answer

90

Question 15

Solve for x.

Accepted Answer

20

Answer

5

Answer

40

Answer

85

Question 16

Angle L measures

Accepted Answer

90o

Answer

145o

Answer

45o

Answer

35o

Question 17

Which two sets of angles in this diagram are congruent?

Accepted Answer

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

Accepted Answer

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

Answer

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

Answer

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

Question 18

Solve for x

Accepted Answer

51 degrees

Answer

61 degrees

Answer

102 degrees

Answer

204 degrees

Question 19

What is x?

Accepted Answer

2

Answer

15

Answer

23

Answer

92

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