This math topic covers the geometric properties of inscribed angles in circles, specifically focusing on inscribed angles subtended by the same arc. Problems delve into the relationships and measurements between various pairs of angles that share an arc, examining whether they are equal to, the sum of, half of, twice, or unrelated to each other. The learners are asked to identify these relationships through a series of multiple-choice questions, enhancing their understanding of how arcs and angles in circles interact.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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Inscribed Angles Subtended by Same Arc - Rule
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What is known about angle CBN and CMN given that they are both subtended by arc CN?
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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Rule Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Angles Subtended by Same Arc - Rule (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/ |
| What is known about angle MCN and MPN given that they are both subtended by arc MN? |
| MCN and MPN add to 360º |
| MCN is the same as MPN |
| Nothing, MCN and MPN are not subtended by the same arc |
| MCN is twice MPN |
| MCN and MPN add to 180º |
| MCN and MPN add to 90º |
| What is known about angle PMC and PXC given that they are both subtended by arc PC? |
| PMC and PXC add to 90º |
| PMC is half PXC |
| PMC is the same as PXC |
| PMC and PXC add to 180º |
| Nothing, PMC and PXC are not subtended by the same arc |
| PMC is twice PXC |
| What is known about angle CXR and CMR given that they are both subtended by arc CR? |
| CXR is the same as CMR |
| Nothing, CXR and CMR are not subtended by the same arc |
| CXR and CMR add to 90º |
| CXR and CMR add to 180º |
| CXR and CMR add to 360º |
| CXR is twice CMR |
| What is known about angle PRB and PZB given that they are both subtended by arc PB? |
| PRB and PZB add to 180º |
| PRB is twice PZB |
| PRB is half PZB |
| PRB and PZB add to 360º |
| PRB and PZB add to 90º |
| PRB is the same as PZB |
| What is known about angle CBN and CMN given that they are both subtended by arc CN? |
| CBN is twice CMN |
| CBN is half CMN |
| Nothing, CBN and CMN are not subtended by the same arc |
| CBN is the same as CMN |
| CBN and CMN add to 180º |
| CBN and CMN add to 90º |
| What is known about angle XMP and XNP given that they are both subtended by arc XP? |
| XMP is the same as XNP |
| XMP and XNP add to 360º |
| XMP and XNP add to 180º |
| XMP is twice XNP |
| XMP and XNP add to 90º |
| Nothing, XMP and XNP are not subtended by the same arc |
| What is known about angle YNZ and YMZ given that they are both subtended by arc YZ? |
| YNZ and YMZ add to 90º |
| YNZ and YMZ add to 360º |
| YNZ is half YMZ |
| YNZ is twice YMZ |
| YNZ is the same as YMZ |
| YNZ and YMZ add to 180º |