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.
moreMath 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/ |
What is known about angle RXC compared to the length (in degrees) of intersected arc RC? |
RXC is half RC |
RC is half RXC |
RC and RXC add to 90º |
Nothing, RC and RXC are not subtended by the same arc |
RC is twice RXC |
RC and RXC add to 180º |
What is known about angle NCB compared to the length (in degrees) of intersected arc NB? |
Nothing, NB and NCB are not subtended by the same arc |
NB and NCB add to 90º |
NCB is half NB |
NB is the same as NCB |
NB and NCB add to 180º |
NB and NCB add to 360º |
What is known about angle XDM compared to the length (in degrees) of intersected arc XM? |
XM is twice XDM |
XM and XDM add to 90º |
Nothing, XM and XDM are not subtended by the same arc |
XM and XDM add to 180º |
XDM is half XM |
XM and XDM add to 360º |
What is known about angle RMB compared to the length (in degrees) of intersected arc RB? |
RB and RMB add to 360º |
Nothing, RB and RMB are not subtended by the same arc |
RB is twice RMB |
RB is the same as RMB |
RMB is half RB |
RB is half RMB |
What is known about angle MXN compared to the length (in degrees) of intersected arc MN? |
MXN is half MN |
MN is half MXN |
MN is twice MXN |
MN and MXN add to 180º |
MN is the same as MXN |
MN and MXN add to 90º |
What is known about angle NRB compared to the length (in degrees) of intersected arc NB? |
Nothing, NB and NRB are not subtended by the same arc |
NRB is half NB |
NB is half NRB |
NB and NRB add to 360º |
NB is the same as NRB |
NB and NRB add to 90º |
What is known about angle CPM compared to the length (in degrees) of intersected arc CM? |
CM is half CPM |
CM and CPM add to 360º |
CM and CPM add to 180º |
Nothing, CM and CPM are not subtended by the same arc |
CPM is half CM |
CM is the same as CPM |