Learning Goal 25: Using Properties of Tangents, Secants ...



Math 2 : Circles and Spheres Name: ______________________________

Date: ______________ Pd: ____________

UNIT 4A TEST REVIEW

Angle Relationships of Circles

2. Given [pic] bisects [pic], write five true statements about the figure below:

3. What is the value of x ?

4. The measure of a minor arc on a circle is 108°. What is the measure of its central angle?

5. The measure of a central angle in a circle is 97°. What is the measure of its minor arc?

6. In circle O, [pic].

7. In circle O, [pic] is a diameter. Prove that RS and PQ are congruent. Explain.

8. Solve the following equations:

a. 5y + 110 = 180 b. 64 + 4x = 180 c. 3x + 63 = 180

9. Opposite angles of a quadrilateral inscribed in a circle are _____________________________________.

10.

11. Given that (OPM and (ONM are right angles and mNPM = 228(, what is the measure of (OMN?

12. Find the values of x and y so that a circle can be circumscribed about quadrilateral ABCD.

13. In the circle below: draw and label minor arc AB, major arc ABD, and semicircle BCD.

14. What is the measure of x ?

15. What is the measure of y ?

16. What is the value of x?

17. Point O is outside the circle. The measure of arc AD is equal to 32°, [pic], and [pic]. What is the measure of [pic]?

-----------------------

1. Identify any chords, tangents, secants, diameter, radii:

A)

A

F

B

C

E

D

A

C

D

B

b.

a.

x°

47°

39°

x°

a. What is [pic]?

b. What is mABC?

c. What is mCDA?

C

O

B

D

A

Q

P

110°

O

35°

R

S

a. What is [pic]?

b. What is [pic]?

42°

R

S

T

U

P

O

N

M

5x + 4

82

7y

3x - 8

C

D

B

A

b.

a.

B)

264°

x°

117°

x°

b.

a.

y°

180º

104º

17°

xº

136º

b.

a.

x°

120 °

109°

H

G

112°

140 °

x°

H

G

B

A

32°

O

D

73°

C

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download