1. For circle A, AF = AG, AF is perpendicular to CD, and AG is perpendicular to EB. What conclusion can be made?

a circle with center A and chords CD and EB, a segment from A to chord CD intersects chord CD at F, and a segment from A to chord EB intersects chord EB at G.

a. FD || GB

b. CD = EB

c. AF | AG

d. CF = AF

2, In circle A, the measure of BAD is 148:

If mBC is 96, what is m DC?

Circle A with angle BAD measuring 148 degrees, points B, C, and D lie on Circle A.

a. 96

b. 22

c. 52

d. 148

3, Lines CD and DE are tangent to circle A:

IfCEis 98, what is the measure of CDE?

Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 98 degrees. Point B lies on circle A.

a. 56

b. 49

c. 131

d. 82

4, Find the measure ofDF. Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 5x plus 10 degrees, the measure of angle EGC is 70 degrees, and the measure of arc DF is 11x plus 2 degrees.

a. 50

b. 90

c. 100

d. 140

5, Find the measure ofDB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside of the circle, the measure of angle ECB is 5x degrees, arc EB is 96 degrees, and arc DB 25x plus 21 degrees.

a. 25

b. 96

c. 118

d. 146

6, If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made?

a. The diameter and the chord are congruent.

b. The diameter is twice as long as the chord.

c. The chord is bisected.

d. The diameter is bisected.

7, In circle A, mBC is 67 and m EFis 74: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 67 degrees, and the measure of arc EF is 74 degrees.

What is mFDE?

a. 37

b. 74

c. 70.5

d. 33.5

8, For circle H, JN = x, NK = 2, LN = 3, and NM = 6. Solve for x.

circle H with chords JK and LM intersecting at N inside the circle

a. 1

b. 7

c. 9

d. 4

9, Lines CD and CE are tangent to circle a. If mDAE = 145, what is the measure of DCE?

Tangent CD intersects with circle A at point D, tangent CE intersects with circle A at point E, angle ECD is on the exterior of circle A, and angle DAE has a vertex on the center of circle A.

a. 35

b. 70

c. 145

d. 215

10, In circle A,BD is a diameter, and the measure ofCBis 48:

Points B, C, and D lie on Circle A. Line segment BD is the diameter of circle A. The measure of arc CB is 48 degrees.

What is the measure of DBC?

a. 48

b. 66

c. 24

d. 42