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Circles Review

Total questions: 33

Worksheet time: 24mins

Name
Class
Date
1.

A circle is named after its __________.

a)

CENTER

b)

CHORD

c)

SEGMENT

d)

RADIUS

2.

A segment that connects the center to any point on the circle.

a)

DIAMETER

b)

CHORD

c)

RADIUS

d)

RAY

3.

True or False: All chords are diameters.

a)

TRUE

b)

FALSE

4.

A line or a ray that has its endpoints on the circle.

a)

TANGENT

b)

SECANT

c)

CHORD

d)

RADIUS

5.

A line segment that has its endpoints on the circle.

a)

CHORD

b)

RADIUS

c)

LINE

d)

SECANT

6.

A line, segment or a ray that intersects the circle at exactly one point.

a)

SECANT

b)

TANGENT

c)

CHORD

d)

RADIUS

7.

An arc that measures exactly 180°

a)

MAJOR ARC

b)

MINOR ARC

c)

SEMICIRCLE

8.

The measurement of an arc is __________ the measurement of the central angle that intercepts it.

a)

TWICE

b)

HALF

c)

EQUAL TO

9.

An arc that measures greater than 180°.

a)

SEMICIRCLE

b)

MAJOR ARC

c)

MINOR ARC

10.

An arc that measures less than 180°.

(a)  

11.

Write the distance formula between 2 points.

a)
d = √((x2 - x1)^2 + (y2 - y1)^2)
b)

d = √(x2 + x1) * (y2 + y1)

c)
d = (x2 - x1) * (y2 - y1)
d)
d = (x2 - x1) + (y2 - y1)
12.

TRUE OR FALSE: Distances can be negative.

a)

TRUE

b)

FALSE

13.

An angle inscribed inside a semicircle is a /an ______.

a)

Acute Angle

b)

Obtuse Angle

c)

Right Angle

14.

Write the standard form of the equation of a circle.

a)
(x - h)^2 + (y - k)^2 = r^2
b)
(x + h)^2 + (y + k)^2 = r^2
c)
(x + h)^2 - (y + k)^2 = r^2
d)
(x - h)^2 - (y - k)^2 = r^2
15.

Segment q and segment n are radii of circle O. If q = 2x-3, and n = x + 1, what is the value of x?

(a)  

16.

What part of circle B is segment AD?

(a)  

17.

What part of circle B is segment f?

a)

TANGENT

b)

CHORD

c)

SECANT

d)

RADIUS

18.

What part of circle B is segment g?

a)

CHORD

b)

TANGENT

c)

SECANT

d)

DIAMETER

19.

Given: AD is a diameter, ∠AOB = 60°, and ∠COD = 50°. ∠AOB and ∠EOD are vertical angles. Find the measurement and classify: •m∠AEC

a)

120, Major

b)

120, Minor

c)

240, minor

d)

240, major

20.

The measurement of an inscribed angle is equal to ________________ of the measurement of its intercepted arc.

a)

TWICE

b)

HALF

21.

TRUE OR FALSE In a circle, inscribed angles intercepting the same arc are supplementary.

a)

TRUE

b)

FALSE

22.

An inscribed angle is an intersection of two (a)   .

23.

Given Circle K, BL is a diameter. BKL What is the measurement of ∠BHL?

a)

180

b)

90

c)

360

d)

45

24.

Find the distance between the points (0, 1) and (6, –1).

a)

40

b)

√40

c)

√10

25.

How far is the point(6,8) from the origin?

(a)  

26.

Find the distance between the two points(–3, 2)and(3, 5).

a)

45

b)

15

c)

√45

d)

√15

27.

Find the measurement of the radius of a circle with Center: (-8, 10) with Point on the circle: (3, -4)

a)

√317

b)

317

c)

100,489

28.

Find the center-radius equation (standard form) of the circle with center at (7,-5) and a radius of 6.

a)

b)

c)

29.

Find the center-radius equation (standard form) of the circle with center at (0,18) and a radius of 24.

a)

b)

30.

Find the center-radius equation (general form) of the circle with center at (7,-5) and a radius of 6.

a)

b)

c)

31.

Assume your house is at the origin. Two of your friends live near you. Friend A lives 7 blocks North and 2 blocks east. Friend B lives 6 blocks south and 4 blocks west. Solve for the distance of your Friend A.

(HINT: He lives at (2,7) since 7 North and 2 East.)

a)

53 units

b)

√53 units

c)

106 units

d)

√106 units

32.

Assume your house is at the origin. Two of your friends live near you. Friend A lives 7 blocks North and 2 blocks east. Friend B lives 6 blocks south and 4 blocks west. Solve for the distance of your Friend B.

a)

52 units

b)

√52 units

c)

104 units

d)

√104 units

33.

Assume your house is at the origin. Two of your friends live near you. Friend A lives 7 blocks North and 2 blocks east. Friend B lives 6 blocks south and 4 blocks west. Which friend lives nearer to your house?

a)

FRIEND A

b)

FRIEND B