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

This math topic focuses on the geometry of circles, specifically identifying pairs of inscribed angles subtended by the same arc. The problems require students to recognize and confirm which angles within given circle diagrams are equal. This theme is a part of intermediate-level geometry practice, enhancing the understanding of angular relationships in circles, essential for mastering more complex geometrical concepts. Each question presents a visual setup of a circle with marked points and angles, prompting the student to determine pairs of equal angles.

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 - Identify Pairs Worksheet

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Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Identify Pairs
1
An svg image showing a math problem
Which pairs of angles are known to be the same
a
YPM = RYP and YPM = RMP
b
RMP = RYP and YPM = YRM
c
YRM = RYP and YPM = RYP
d
RMP = YPM and RMP = YRM
e
RMP = YRM and RYP = YRM
2
An svg image showing a math problem
Which pairs of angles are known to be the same
a
MRP = CPR and MRP = CMR
b
MRP = MCP and CPR = CMR
c
MRP = CMR and MCP = CMR
d
CMR = MCP and CPR = MCP
e
CPR = MCP and CPR = MRP
3
An svg image showing a math problem
Which pairs of angles are known to be the same
a
BYM = BRM and RMY = RBY
b
BYM = RMY and BYM = RBY
c
BYM = RBY and BRM = RBY
d
RBY = BRM and RMY = BRM
e
RMY = BRM and RMY = BYM
4
An svg image showing a math problem
Which pairs of angles are known to be the same
a
NCX = CND and NDX = CND
b
NDX = CND and NDX = CXD
c
CXD = NCX and CND = NCX
d
CXD = NDX and CXD = NCX
e
CXD = CND and NDX = NCX
5
An svg image showing a math problem
Which pairs of angles are known to be the same
a
NDC = PND and NPC = PND
b
NDC = NPC and PCD = PND
c
NDC = PCD and NDC = PND
d
PCD = NPC and PCD = NDC
e
PND = NPC and PCD = NPC
6
An svg image showing a math problem
Which pairs of angles are known to be the same
a
RYC = MCY and RYC = MRY
b
RYC = MRY and RMC = MRY
c
MRY = RMC and MCY = RMC
d
MCY = RMC and MCY = RYC
e
RYC = RMC and MCY = MRY
7
An svg image showing a math problem
Which pairs of angles are known to be the same
a
PNR = NPX and PXR = NPX
b
NRX = NPX and PXR = PNR
c
PXR = NPX and PXR = NRX
d
NRX = PXR and NRX = PNR
e
NRX = PNR and NPX = PNR
8
An svg image showing a math problem
Which pairs of angles are known to be the same
a
PRY = CPR and PRY = CYR
b
CYR = CPR and PRY = PCY
c
PCY = CPR and PRY = CPR
d
CYR = PRY and CYR = PCY
e
CYR = PCY and CPR = PCY