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.

more
View

Geometry of Circles - Rule for Inscribed Angle from Central Worksheet

Mobius Math Academy logo
Geometry of Circles - Rule for Inscribed Angle from Central
1
An svg image showing a math problem
What is known about angle ZXN compared to angle ZBN?
a
ZXN and ZBN add to 360º
b
Nothing, ZXN and ZBN are not subtended by the same arc
c
ZXN is the same as ZBN
d
ZXN is half ZBN
e
ZXN and ZBN add to 90º
f
ZXN is twice ZBN
2
An svg image showing a math problem
What is known about angle CPR compared to angle CZR?
a
Nothing, CPR and CZR are not subtended by the same arc
b
CPR is twice CZR
c
CPR and CZR add to 90º
d
CPR is half CZR
e
CPR and CZR add to 360º
f
CPR is the same as CZR
3
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 and ZNX add to 360º
c
ZMX is half ZNX
d
ZMX is the same as ZNX
e
ZMX and ZNX add to 180º
f
Nothing, ZMX and ZNX are not subtended by the same arc
4
An svg image showing a math problem
What is known about angle RDC compared to angle RXC?
a
RDC is twice RXC
b
Nothing, RDC and RXC are not subtended by the same arc
c
RDC is half RXC
d
RDC is the same as RXC
e
RDC and RXC add to 360º
f
RDC and RXC 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 180º
d
YCX and YZX add to 90º
e
Nothing, YCX and YZX are not subtended by the same arc
f
YCX and YZX add to 360º
6
An svg image showing a math problem
What is known about angle XPY compared to angle XZY?
a
XPY and XZY add to 360º
b
XPY and XZY add to 180º
c
XPY is half XZY
d
XPY is the same as XZY
e
XPY and XZY add to 90º
f
XPY is twice XZY
7
An svg image showing a math problem
What is known about angle MCR compared to angle MNR?
a
MCR is the same as MNR
b
MCR is half MNR
c
MCR and MNR add to 90º
d
MCR and MNR add to 180º
e
MCR and MNR add to 360º
f
Nothing, MCR and MNR are not subtended by the same arc
8
An svg image showing a math problem
What is known about angle BXR compared to angle BDR?
a
BXR is twice BDR
b
BXR is the same as BDR
c
BXR is half BDR
d
Nothing, BXR and BDR are not subtended by the same arc
e
BXR and BDR add to 360º
f
BXR and BDR add to 90º