This math topic explores the geometric principle involving the relationship between central angles and inscribed angles in a circle, at an intermediate introductory level. It includes multiple-choice questions that challenge students to identify the relationship between pairs of angles subtended by the same arc or different arcs. For each question, students are given various options such as angles being equal, one being twice or half of the other, angles adding up to certain degrees, or having no relation due to different arcs. These problems facilitate understanding and application of the inscribed angle theorem and its implications in circle geometry.
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What is known about angle MCR compared to angle MDR?
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Math worksheet on 'Geometry of Circles - Rule for Inscribed Angle from Central (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 MPB compared to angle MRB? |
MPB is half MRB |
MPB and MRB add to 90º |
Nothing, MPB and MRB are not subtended by the same arc |
MPB is the same as MRB |
MPB and MRB add to 360º |
MPB is twice MRB |
What is known about angle NZD compared to angle NBD? |
NZD is the same as NBD |
NZD is half NBD |
NZD and NBD add to 180º |
NZD and NBD add to 90º |
NZD is twice NBD |
Nothing, NZD and NBD are not subtended by the same arc |
What is known about angle MNX compared to angle MYX? |
MNX is the same as MYX |
MNX and MYX add to 90º |
MNX is half MYX |
MNX is twice MYX |
MNX and MYX add to 360º |
Nothing, MNX and MYX are not subtended by the same arc |
What is known about angle BMR compared to angle BDR? |
Nothing, BMR and BDR are not subtended by the same arc |
BMR is twice BDR |
BMR and BDR add to 90º |
BMR is half BDR |
BMR is the same as BDR |
BMR and BDR add to 180º |
What is known about angle RDB compared to angle RMB? |
RDB and RMB add to 180º |
Nothing, RDB and RMB are not subtended by the same arc |
RDB is the same as RMB |
RDB and RMB add to 360º |
RDB is twice RMB |
RDB is half RMB |
What is known about angle YBR compared to angle YXR? |
YBR is half YXR |
Nothing, YBR and YXR are not subtended by the same arc |
YBR and YXR add to 90º |
YBR is the same as YXR |
YBR and YXR add to 180º |
YBR and YXR add to 360º |
What is known about angle ZRD compared to angle ZXD? |
ZRD and ZXD add to 180º |
ZRD is twice ZXD |
Nothing, ZRD and ZXD are not subtended by the same arc |
ZRD and ZXD add to 360º |
ZRD is half ZXD |
ZRD is the same as ZXD |