Rule for Central Angle from Inscribed (Level 1)

This topic focuses on understanding the relationships between angles in the context of circle geometry, specifically exploring the rule for central angles and inscribed angles. Learners are asked to determine properties and relationships of various angles that are either central or inscribed, often comparing one to another based on their position relative to a circle. The questions involve identifying whether angles are the same, add up to certain values like 90° or 180°, or have a multiplicative relationship (half or twice the size of another). This involves critical thinking and a clear understanding of the geometric properties related to circles.

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

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Geometry of Circles - Rule for Central Angle from Inscribed Worksheet

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Math worksheet on 'Geometry of Circles - Rule for Central Angle from Inscribed (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 MDP compared to angle MCP?
a
MDP and MCP add to 90º
b
Nothing, MDP and MCP are not subtended by the same arc
c
MDP is the same as MCP
d
MDP is half MCP
e
MDP is twice MCP
f
MDP and MCP add to 360º
2
An svg image showing a math problem
What is known about angle ZRX compared to angle ZDX?
a
ZRX is twice ZDX
b
ZRX is half ZDX
c
ZRX is the same as ZDX
d
ZRX and ZDX add to 180º
e
ZRX and ZDX add to 90º
f
ZRX and ZDX add to 360º
3
An svg image showing a math problem
What is known about angle NMY compared to angle NXY?
a
NMY is the same as NXY
b
NMY and NXY add to 360º
c
NMY and NXY add to 90º
d
Nothing, NMY and NXY are not subtended by the same arc
e
NMY is twice NXY
f
NMY is half NXY
4
An svg image showing a math problem
What is known about angle NCM compared to angle NYM?
a
NCM is twice NYM
b
NCM is half NYM
c
Nothing, NCM and NYM are not subtended by the same arc
d
NCM and NYM add to 90º
e
NCM is the same as NYM
f
NCM and NYM add to 360º
5
An svg image showing a math problem
What is known about angle RNX compared to angle RYX?
a
RNX and RYX add to 90º
b
RNX is the same as RYX
c
RNX and RYX add to 360º
d
RNX and RYX add to 180º
e
Nothing, RNX and RYX are not subtended by the same arc
f
RNX is twice RYX
6
An svg image showing a math problem
What is known about angle DNY compared to angle DCY?
a
DNY and DCY add to 180º
b
Nothing, DNY and DCY are not subtended by the same arc
c
DNY and DCY add to 360º
d
DNY is twice DCY
e
DNY is half DCY
f
DNY and DCY add to 90º
7
An svg image showing a math problem
What is known about angle DBX compared to angle DNX?
a
DBX and DNX add to 90º
b
DBX and DNX add to 360º
c
Nothing, DBX and DNX are not subtended by the same arc
d
DBX is twice DNX
e
DBX is half DNX
f
DBX is the same as DNX
Geometry of Circles - Rule for Central Angle from Inscribed (Level 1) - Mobius Math Academy