Rule for Inscribed Angle from Central (Level 1)

This math topic explores the geometric principle involving the relationship between central angles and inscribed angles in a circle, at an intermediate introductory level. It includes multiple-choice questions that challenge students to identify the relationship between pairs of angles subtended by the same arc or different arcs. For each question, students are given various options such as angles being equal, one being twice or half of the other, angles adding up to certain degrees, or having no relation due to different arcs. These problems facilitate understanding and application of the inscribed angle theorem and its implications in circle geometry.

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

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Geometry of Circles - Rule for Inscribed Angle from Central Worksheet

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Math worksheet on 'Geometry of Circles - Rule for Inscribed Angle from Central (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/
1
An svg image showing a math problem
What is known about angle BXC compared to angle BNC?
a
BXC is half BNC
b
BXC is the same as BNC
c
BXC and BNC add to 90º
d
BXC and BNC add to 180º
e
BXC and BNC add to 360º
f
BXC is twice BNC
2
An svg image showing a math problem
What is known about angle BMN compared to angle BRN?
a
BMN and BRN add to 360º
b
BMN and BRN add to 90º
c
BMN and BRN add to 180º
d
BMN is half BRN
e
Nothing, BMN and BRN are not subtended by the same arc
f
BMN is the same as BRN
3
An svg image showing a math problem
What is known about angle RDC compared to angle RXC?
a
RDC and RXC add to 360º
b
RDC and RXC add to 90º
c
RDC is half RXC
d
RDC is the same as RXC
e
Nothing, RDC and RXC are not subtended by the same arc
f
RDC is twice RXC
4
An svg image showing a math problem
What is known about angle CPR compared to angle CZR?
a
CPR is the same as CZR
b
CPR is twice CZR
c
Nothing, CPR and CZR are not subtended by the same arc
d
CPR is half CZR
e
CPR and CZR add to 360º
f
CPR and CZR add to 90º
5
An svg image showing a math problem
What is known about angle YCX compared to angle YZX?
a
YCX is half YZX
b
YCX is the same as YZX
c
YCX and YZX add to 360º
d
Nothing, YCX and YZX are not subtended by the same arc
e
YCX and YZX add to 90º
f
YCX and YZX add to 180º
6
An svg image showing a math problem
What is known about angle BYX compared to angle BZX?
a
Nothing, BYX and BZX are not subtended by the same arc
b
BYX is the same as BZX
c
BYX is twice BZX
d
BYX is half BZX
e
BYX and BZX add to 180º
f
BYX and BZX add to 90º
7
An svg image showing a math problem
What is known about angle ZMX compared to angle ZNX?
a
ZMX and ZNX add to 90º
b
ZMX is half ZNX
c
Nothing, ZMX and ZNX are not subtended by the same arc
d
ZMX and ZNX add to 180º
e
ZMX and ZNX add to 360º
f
ZMX is the same as ZNX