Rule for Inscribed Angle from Intersected Arc (Level 1)

This math topic focuses on the geometric properties of circles, specifically the relationship between inscribed angles and the arcs they intersect. Students are required to apply and interpret the rule that an inscribed angle is half the measure of its intercepted arc, or variations of this rule. They are presented with diagrams of circles containing various points and arcs and are asked to compare the angular measurements of inscribed angles to the lengths of the corresponding arcs. Each problem presents multiple-choice answers, challenging students to distinguish correct relationships in the context of 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 Intersected Arc Worksheet

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Math worksheet on 'Geometry of Circles - Rule for Inscribed Angle from Intersected Arc (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 ZPC compared to the length (in degrees) of intersected arc ZC?
a
ZC is twice ZPC
b
ZC and ZPC add to 180º
c
ZPC is half ZC
d
ZC and ZPC add to 360º
e
Nothing, ZC and ZPC are not subtended by the same arc
f
ZC and ZPC add to 90º
2
An svg image showing a math problem
What is known about angle MZN compared to the length (in degrees) of intersected arc MN?
a
MN and MZN add to 180º
b
MN is twice MZN
c
MN is half MZN
d
MN and MZN add to 360º
e
MZN is half MN
f
Nothing, MN and MZN are not subtended by the same arc
3
An svg image showing a math problem
What is known about angle MRC compared to the length (in degrees) of intersected arc MC?
a
MC and MRC add to 90º
b
MC is twice MRC
c
MC is the same as MRC
d
MRC is half MC
e
Nothing, MC and MRC are not subtended by the same arc
f
MC and MRC add to 360º
4
An svg image showing a math problem
What is known about angle DBX compared to the length (in degrees) of intersected arc DX?
a
Nothing, DX and DBX are not subtended by the same arc
b
DX and DBX add to 360º
c
DBX is half DX
d
DX and DBX add to 90º
e
DX is the same as DBX
f
DX is half DBX
5
An svg image showing a math problem
What is known about angle ZDB compared to the length (in degrees) of intersected arc ZB?
a
ZDB is half ZB
b
Nothing, ZB and ZDB are not subtended by the same arc
c
ZB is half ZDB
d
ZB is the same as ZDB
e
ZB and ZDB add to 180º
f
ZB is twice ZDB
6
An svg image showing a math problem
What is known about angle DYN compared to the length (in degrees) of intersected arc DN?
a
DN and DYN add to 360º
b
DN is the same as DYN
c
DN is half DYN
d
DYN is half DN
e
Nothing, DN and DYN are not subtended by the same arc
f
DN and DYN add to 180º
7
An svg image showing a math problem
What is known about angle MYZ compared to the length (in degrees) of intersected arc MZ?
a
MZ is twice MYZ
b
MZ and MYZ add to 90º
c
MZ and MYZ add to 180º
d
MZ is half MYZ
e
MYZ is half MZ
f
Nothing, MZ and MYZ are not subtended by the same arc
Geometry of Circles - Rule for Inscribed Angle from Intersected Arc (Level 1) - Mobius Math