Inscribed Angles Subtended by Same Arc with Paired Angle - Rule (Level 1)

This math topic focuses on the geometry of circles, specifically the properties of inscribed angles that are subtended by the same arc. Students tackle problems involving the relationships between such angles, determining whether they are equal, supplementary, or possess another specific mathematical relationship. This intermediary level practice helps solidify understanding of circle theorems involving inscribed angles and their intercepted arcs, enhancing students’ overall skills 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 - Inscribed Angles Subtended by Same Arc with Paired Angle - Rule Worksheet

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Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Rule
1
An svg image showing a math problem
What is known about angle PMC and RPM?
a
RCM is half RPM
b
RCM and RPM add to 360º
c
Nothing, RCM and RPM are not subtended by the same arc
d
RCM and RPM add to 90º
e
RCM is the same as RPM
f
RCM is twice RPM
2
An svg image showing a math problem
What is known about angle MPY and CMP?
a
CYP is half CMP
b
Nothing, CYP and CMP are not subtended by the same arc
c
CYP and CMP add to 90º
d
CYP is the same as CMP
e
CYP and CMP add to 360º
f
CYP and CMP add to 180º
3
An svg image showing a math problem
What is known about angle DCX and NDC?
a
NXC and NDC add to 360º
b
NXC and NDC add to 180º
c
NXC is the same as NDC
d
NXC is half NDC
e
NXC is twice NDC
f
Nothing, NXC and NDC are not subtended by the same arc
4
An svg image showing a math problem
What is known about angle RNC and RMC?
a
Nothing, RNC and RMC are not subtended by the same arc
b
RNC is twice RMC
c
RNC is half RMC
d
RNC and RMC add to 360º
e
RNC is the same as RMC
f
RNC and RMC add to 90º
5
An svg image showing a math problem
What is known about angle DPX and DCX?
a
DPX is half DCX
b
DPX and DCX add to 90º
c
DPX is the same as DCX
d
DPX and DCX add to 360º
e
DPX is twice DCX
f
Nothing, DPX and DCX are not subtended by the same arc
6
An svg image showing a math problem
What is known about angle XNZ and PXN?
a
PZN is twice PXN
b
Nothing, PZN and PXN are not subtended by the same arc
c
PZN and PXN add to 180º
d
PZN and PXN add to 90º
e
PZN is half PXN
f
PZN is the same as PXN
7
An svg image showing a math problem
What is known about angle ZRB and DZR?
a
DBR and DZR add to 360º
b
Nothing, DBR and DZR are not subtended by the same arc
c
DBR is twice DZR
d
DBR and DZR add to 180º
e
DBR and DZR add to 90º
f
DBR is the same as DZR
8
An svg image showing a math problem
What is known about angle DNR and DCR?
a
DNR and DCR add to 90º
b
DNR and DCR add to 360º
c
DNR is twice DCR
d
DNR is half DCR
e
DNR and DCR add to 180º
f
DNR is the same as DCR