Angles in Circles Remedial Worksheet
Central & Inscribed Angles Subtended by Arcs
Use this drawing to answer the questions below.
For questions 1 – 3, fill in the blank with “central” or “inscribed”.
1. [pic]FDG is a(n) _______________ angle.
2. [pic]AEB is a(n) _______________ angle.
3. [pic]AOB is a(n) _______________ angle.
For questions 4 – 6, indicate which angle each arc is subtended by.
4. [pic]AOB is subtended by arc _______.
5. [pic]FDG is subtended by arc _______.
6. [pic]ACB is subtended by arc _______.
For questions 7 – 9, fill in the missing angles.
7. The only central angle subtended by arc AB is __________
8. The two inscribed angles are subtended by the arc AB are __________ and __________
9. The angle subtended by arc FG is __________. It is a(n) ________________ (central / inscribed) angle.
Use this drawing to answer the questions below.
10. Minor arc PQ subtends the inscribed angle __________.
11. Darken major arc PQ on the diagram above. Major arc PQ subtends reflex [pic]POQ. This angle is indicated on the diagram. The inscribed angle subtended by major arc PQ is _________.
Using the Angle Properties
Use this drawing to answer the questions below.
1. The central angle subtended by arc JM is __________.
2. An inscribed angle subtended by the same arc is ____________.
3. Another inscribed angle subtended by the same arc is ___________.
4. Use angle properties 1 and 3 to explain the relationship between the measurements of the following angles:
a) [pic]JOM and [pic]JLM
b) [pic]JOM and [pic]JKM
c) [pic]JLM and [pic]JKM
Use this drawing to answer the questions below.
1. Which line segment in the diagram is a diameter? ______
2. According to angle property 2, the angle in the diagram that is a right angle is ___________. It is subtended by arc ______.
3. According to angle property 3, which angle in the diagram is equal to [pic]ADB?
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•
O
A
B
C
D
E
F
G
•
O
P
Q
R
S
(Recall: A reflex angle is an angle between 180° and 360°.)
•
J
K
L
M
O
A
O
•
B
D
C
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