Arc to Subtended Angle Definition (Level 1)

This math topic focuses on the Geometry of Circles, specifically on defining and identifying angles that are subtended by various arcs in a circle. Students are presented with multiple-choice questions where they must determine which angle corresponds to the designated arc. This activity is designed to develop the understanding of circle geometry, enhance visualization skills, and improve geometrical reasoning, making it suitable for intermediate-level students starting to explore deeper concepts in geometry. Each question incorporates an image of a circle with labeled points, and students identify the correct angle created by the arcs between these points.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Arc to Subtended Angle Definition Worksheet

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Geometry of Circles - Arc to Subtended Angle Definition
1
An svg image showing a math problem
What angle is subtended by arc RB?
a
ZBR
b
RBZ
c
RZB
d
BRZ
e
ZRB
2
An svg image showing a math problem
What angle is subtended by arc ZB?
a
YBZ
b
ZBY
c
ZYB
d
BZY
e
YZB
3
An svg image showing a math problem
What angle is subtended by arc BX?
a
BNX
b
NBX
c
BXN
d
XBN
e
NXB
4
An svg image showing a math problem
What angle is subtended by arc CZ?
a
ZCY
b
CZY
c
YZC
d
CYZ
e
YCZ
5
An svg image showing a math problem
What angle is subtended by arc RN?
a
RNY
b
YNR
c
RYN
d
NRY
e
YRN
6
An svg image showing a math problem
What angle is subtended by arc NZ?
a
XZN
b
XNZ
c
NXZ
d
NZX
e
ZNX
7
An svg image showing a math problem
What angle is subtended by arc XB?
a
XBM
b
BXM
c
XMB
d
MXB
e
MBX
8
An svg image showing a math problem
What angle is subtended by arc YR?
a
YRC
b
RYC
c
YCR
d
CRY
e
CYR