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
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What is known about angle YMX compared to angle YPX?
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 XMP compared to angle XYP? |
| XMP is the same as XYP |
| XMP is twice XYP |
| XMP and XYP add to 360º |
| XMP is half XYP |
| XMP and XYP add to 180º |
| Nothing, XMP and XYP are not subtended by the same arc |
| What is known about angle MRB compared to angle MXB? |
| MRB and MXB add to 180º |
| MRB is twice MXB |
| MRB and MXB add to 90º |
| MRB is half MXB |
| MRB and MXB add to 360º |
| Nothing, MRB and MXB are not subtended by the same arc |
| What is known about angle MZB compared to angle MDB? |
| MZB is twice MDB |
| MZB and MDB add to 90º |
| MZB is half MDB |
| MZB and MDB add to 360º |
| MZB is the same as MDB |
| Nothing, MZB and MDB are not subtended by the same arc |
| What is known about angle CYN compared to angle CMN? |
| Nothing, CYN and CMN are not subtended by the same arc |
| CYN is the same as CMN |
| CYN and CMN add to 180º |
| CYN and CMN add to 90º |
| CYN is twice CMN |
| CYN and CMN add to 360º |
| What is known about angle MPB compared to angle MYB? |
| MPB is twice MYB |
| Nothing, MPB and MYB are not subtended by the same arc |
| MPB and MYB add to 180º |
| MPB and MYB add to 90º |
| MPB is half MYB |
| MPB is the same as MYB |
| What is known about angle MPB compared to angle MCB? |
| MPB and MCB add to 180º |
| MPB and MCB add to 90º |
| MPB is half MCB |
| MPB is twice MCB |
| MPB and MCB add to 360º |
| MPB is the same as MCB |
| What is known about angle PNR compared to angle PZR? |
| PNR and PZR add to 180º |
| PNR and PZR add to 360º |
| PNR is half PZR |
| PNR is the same as PZR |
| PNR and PZR add to 90º |
| PNR is twice PZR |