Central Angles Answers

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1
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Circle D is shown with the measures of the minor arcs.

Question illustration
A
∠EDH and ∠FDG
B
∠FDE and ∠GDH
C
∠GDH and ∠EDH
D
∠GDF and ∠HDG
2
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QR is tangent to circle P at point Q.

Question illustration
A
5.6 units
B
6.1 units
C
8.3 units
D
9.8 units
3

In circle D, ∠EDH ≅ ∠EDG.

Question illustration
A
114°
B
123°
C
228°
D
246°
4

In circle N, KL ≅ ML.

Question illustration
A
66°
B
74°
C
77°
D
80°
5

In circle A, ∠BAE ≅ ∠DAE.

Question illustration
A
14 units
B
17 units
C
27 units
D
34 units
7

is tangent to circle G at point F.

Question illustration
A
10 units
B
12 units
C
20 units
D
24 units
8

Angles PTQ and STR are vertical angles and congruent.

Question illustration
A
QP and SR
B
QR and
Option B
C
PR and RS
D
PR and PS
10

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
3 units
B
4 units
C
6 units
D
7 units
11

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.

Question illustration
A
They always have equal measures.
B
The difference of their measures is 90°.
C
The sum of their measures is 180°.
D
Their measures cannot be equal.
12

Circle D is shown with the measures of the minor arcs.

Question illustration
A
∠EDH and ∠FDG
B
∠FDE and ∠GDH
C
∠GDH and ∠EDH
D
∠GDF and ∠HDG
13

In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
3 units
B
4 units
C
6 units
D
7 units
19

In circle A, ∠BAE ≅ ∠DAE.

Question illustration
A
14 units
B
17 units
C
27 units
D
34 units
20

is tangent to circle G at point F.

Question illustration
A
10 units
B
12 units
C
20 units
D
24 units

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