Free Printable Circles, Angles and Segments

1.

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are chords of the circle.

a)

right angle

b)

acute angle

c)

inscribed angle

d)

intercepted angle

2.

A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

a)

tangent

b)

secant

c)

radius

d)

arc

3.

A ____ is a line, ray, or segment that intersects a circle at two points.

a)

Tangent

b)

Secant

c)

Radius

d)

Arc

4.

What is the measure of angle 1?

a)

120

b)

40

c)

30

d)

60

5.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

6.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

7.

What is the value of y?

a)

27

b)

54

c)

108

d)

540

8.

What is the value of w?

a)

52

b)

104

c)

76

d)

108

9.

Find the $m\angle B$ if the measure of arc $AB=120\degree$ and the $m\angle A=42\degree.$

a)

$18\degree$

b)

$60\degree$

c)

$78\degree$

d)

$156\degree$

10.

Which equation would be correct to solve for x?

a)

18x = 416

b)

26x = 288

c)

x + 18 = 42

d)

18(x + 18) = 672

11.

What is the value of y? Round to the nearest whole number.

a)

16

b)

17

c)

18

d)

19

12.

Calculate the value of x.

a)

13

b)

14

c)

15

d)

16

13.

Determine the value of (x+y). Round to the nearest whole number.

a)

6

b)

8

c)

10

d)

12

14.

The figure shows a circle with center $O$ , diameter $\overline{AC}$ , and inscribed $\Delta ACB$ . If $m\angle ABC=90\degree$ , $m\angle C=5x-2$ and $m\angle A=2x+8$ , what is the $m\angle BAC$ and $m\angle BCA$ ?

a)

$m\angle BAC=12\degree\ and\ m\angle BCA=78\degree$

b)

$m\angle BAC=45\degree\ and\ m\angle BCA=45\degree$

c)

$m\angle BAC=32\degree\ and\ m\angle BCA=58\degree$

d)

$m\angle BAC=30\degree\ and\ m\angle BCA=60\degree$

15.

$ABCD$ is an inscribed quadrilateral in the circle centered at point $O.$ Select ALL true statements.

a)

$z=2y$

b)

$y=50\degree$

c)

$x=100\degree$

d)

$x+z=180\degree$

e)

$x+2y+z+80\degree=360\degree$

16.

In the diagram shown, chords $\overline{AB}$ and $\overline{CD}$ intersect at point $E.$ The measure of arc AC is $120\degree$ , the measure of arc $DB$ is $\left(2x\right)\degree$ and $m\angle AEC=\left(4x\right)\degree.$ What is the degree measure of $\angle AED?$

a)

$20\degree$

b)

$100\degree$

c)

$132\degree$

d)

$80\degree$

17.

Which equation could you use to solve for x?

a)

6(2x + 6) = 128

b)

12x = 64

c)

2x + 6 = 16

d)

16x = 48

18.

What is the value of x?

a)

18

b)

8

c)

10

d)

30

19.

Find the measure of KM. Assume that lines which appear to be tangent are tangent.

a)

18

b)

10

c)

17

d)

21

20.

Choose a problem from this Quiz to explain your method of solving. You may not explain a vocabulary question. Use at least 4 vocabulary words correctly to receive full-credit. Any repetition with peers will be scored 0. Attach a Google Doc to Classroom.

4 lines

Circles, Angles and Segments

Total questions: 20

Worksheet time: 2hrs 8mins

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