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 RMD compared to angle RZD?
a
RMD and RZD add to 360º
b
RMD is twice RZD
c
RMD is half RZD
d
RMD and RZD add to 180º
e
Nothing, RMD and RZD are not subtended by the same arc
f
RMD is the same as RZD
2
An svg image showing a math problem
What is known about angle CMY compared to angle CDY?
a
CMY is the same as CDY
b
CMY and CDY add to 360º
c
CMY and CDY add to 180º
d
CMY and CDY add to 90º
e
CMY is twice CDY
f
CMY is half CDY
3
An svg image showing a math problem
What is known about angle NDY compared to angle NXY?
a
NDY is the same as NXY
b
NDY and NXY add to 90º
c
Nothing, NDY and NXY are not subtended by the same arc
d
NDY is twice NXY
e
NDY is half NXY
f
NDY and NXY add to 360º
4
An svg image showing a math problem
What is known about angle NZD compared to angle NBD?
a
NZD is the same as NBD
b
Nothing, NZD and NBD are not subtended by the same arc
c
NZD and NBD add to 90º
d
NZD is half NBD
e
NZD and NBD add to 180º
f
NZD is twice NBD
5
An svg image showing a math problem
What is known about angle BMR compared to angle BDR?
a
BMR and BDR add to 180º
b
BMR is half BDR
c
Nothing, BMR and BDR are not subtended by the same arc
d
BMR is the same as BDR
e
BMR is twice BDR
f
BMR and BDR add to 90º
6
An svg image showing a math problem
What is known about angle PRB compared to angle PYB?
a
PRB is half PYB
b
Nothing, PRB and PYB are not subtended by the same arc
c
PRB and PYB add to 90º
d
PRB is twice PYB
e
PRB is the same as PYB
f
PRB and PYB add to 180º
7
An svg image showing a math problem
What is known about angle RMC compared to angle RZC?
a
RMC is half RZC
b
RMC is twice RZC
c
Nothing, RMC and RZC are not subtended by the same arc
d
RMC and RZC add to 360º
e
RMC and RZC add to 180º
f
RMC and RZC add to 90º
Geometry of Circles - Rule for Inscribed Angle from Central (Level 1) - Mobius Math