Rule for Central Angle from Inscribed (Level 1)

This topic focuses on understanding the relationships between angles in the context of circle geometry, specifically exploring the rule for central angles and inscribed angles. Learners are asked to determine properties and relationships of various angles that are either central or inscribed, often comparing one to another based on their position relative to a circle. The questions involve identifying whether angles are the same, add up to certain values like 90° or 180°, or have a multiplicative relationship (half or twice the size of another). This involves critical thinking and a clear understanding of the geometric properties related to circles.

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

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Geometry of Circles - Rule for Central Angle from Inscribed Worksheet

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Geometry of Circles - Rule for Central Angle from Inscribed
1
An svg image showing a math problem
What is known about angle ZXD compared to angle ZBD?
a
ZXD is half ZBD
b
Nothing, ZXD and ZBD are not subtended by the same arc
c
ZXD is twice ZBD
d
ZXD and ZBD add to 360º
e
ZXD is the same as ZBD
f
ZXD and ZBD add to 180º
2
An svg image showing a math problem
What is known about angle CXD compared to angle CPD?
a
CXD is twice CPD
b
Nothing, CXD and CPD are not subtended by the same arc
c
CXD and CPD add to 360º
d
CXD and CPD add to 90º
e
CXD is half CPD
f
CXD is the same as CPD
3
An svg image showing a math problem
What is known about angle XNZ compared to angle XRZ?
a
XNZ is twice XRZ
b
XNZ and XRZ add to 90º
c
XNZ is half XRZ
d
XNZ and XRZ add to 180º
e
Nothing, XNZ and XRZ are not subtended by the same arc
f
XNZ is the same as XRZ
4
An svg image showing a math problem
What is known about angle RMN compared to angle RBN?
a
RMN and RBN add to 90º
b
Nothing, RMN and RBN are not subtended by the same arc
c
RMN is twice RBN
d
RMN and RBN add to 360º
e
RMN and RBN add to 180º
f
RMN is half RBN
5
An svg image showing a math problem
What is known about angle PDM compared to angle PBM?
a
PDM and PBM add to 90º
b
PDM is the same as PBM
c
PDM and PBM add to 360º
d
PDM is half PBM
e
PDM and PBM add to 180º
f
PDM is twice PBM
6
An svg image showing a math problem
What is known about angle RZX compared to angle RBX?
a
RZX is half RBX
b
RZX and RBX add to 90º
c
RZX is twice RBX
d
RZX is the same as RBX
e
RZX and RBX add to 360º
f
RZX and RBX add to 180º
7
An svg image showing a math problem
What is known about angle ZRX compared to angle ZDX?
a
ZRX is twice ZDX
b
ZRX and ZDX add to 360º
c
ZRX and ZDX add to 90º
d
ZRX is half ZDX
e
ZRX is the same as ZDX
f
ZRX and ZDX add to 180º
8
An svg image showing a math problem
What is known about angle BRN compared to angle BCN?
a
BRN is twice BCN
b
BRN is half BCN
c
BRN is the same as BCN
d
Nothing, BRN and BCN are not subtended by the same arc
e
BRN and BCN add to 90º
f
BRN and BCN add to 180º