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.
Practice:
Rule for Central Angle from Inscribed
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What is known about angle MZB compared to angle MDB?
Geometry of Circles - Rule for Central Angle from Inscribed Worksheet
| 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/ |
| What is known about angle MRB compared to angle MXB? |
| MRB is twice MXB |
| Nothing, MRB and MXB are not subtended by the same arc |
| MRB and MXB add to 360º |
| MRB is half MXB |
| MRB and MXB add to 90º |
| MRB and MXB add to 180º |
| What is known about angle ZBR compared to angle ZYR? |
| ZBR is twice ZYR |
| ZBR and ZYR add to 180º |
| ZBR and ZYR add to 360º |
| ZBR and ZYR add to 90º |
| Nothing, ZBR and ZYR are not subtended by the same arc |
| ZBR is half ZYR |
| What is known about angle RDB compared to angle RNB? |
| RDB is twice RNB |
| RDB is half RNB |
| Nothing, RDB and RNB are not subtended by the same arc |
| RDB and RNB add to 90º |
| RDB and RNB add to 360º |
| RDB and RNB add to 180º |
| What is known about angle RDY compared to angle RMY? |
| Nothing, RDY and RMY are not subtended by the same arc |
| RDY and RMY add to 360º |
| RDY is half RMY |
| RDY is twice RMY |
| RDY is the same as RMY |
| RDY and RMY add to 90º |
| What is known about angle PNR compared to angle PZR? |
| PNR and PZR add to 360º |
| PNR and PZR add to 90º |
| PNR is twice PZR |
| PNR is half PZR |
| PNR and PZR add to 180º |
| PNR is the same as PZR |
| What is known about angle RXD compared to angle RPD? |
| Nothing, RXD and RPD are not subtended by the same arc |
| RXD and RPD add to 90º |
| RXD is half RPD |
| RXD is twice RPD |
| RXD and RPD add to 360º |
| RXD and RPD add to 180º |
| What is known about angle BZX compared to angle BCX? |
| BZX and BCX add to 90º |
| BZX is twice BCX |
| BZX and BCX add to 360º |
| BZX is the same as BCX |
| BZX and BCX add to 180º |
| Nothing, BZX and BCX are not subtended by the same arc |