This math topic focuses on the geometry of circles, specifically the properties of inscribed angles that are subtended by the same arc. Students tackle problems involving the relationships between such angles, determining whether they are equal, supplementary, or possess another specific mathematical relationship. This intermediary level practice helps solidify understanding of circle theorems involving inscribed angles and their intercepted arcs, enhancing students’ overall skills in circle geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePractice:
Inscribed Angles Subtended by Same Arc with Paired Angle - Rule
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What is known about angle XZD and XBD?
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Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Rule Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Rule (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/ |
1
| What is known about angle RMD and RBD? |
a
| RMD and RBD add to 360º |
b
| RMD and RBD add to 90º |
c
| RMD is the same as RBD |
d
| RMD is half RBD |
e
| Nothing, RMD and RBD are not subtended by the same arc |
f
| RMD is twice RBD |
2
| What is known about angle DCX and NDC? |
a
| NXC is twice NDC |
b
| Nothing, NXC and NDC are not subtended by the same arc |
c
| NXC is half NDC |
d
| NXC and NDC add to 180º |
e
| NXC is the same as NDC |
f
| NXC and NDC add to 360º |
3
| What is known about angle BMC and BPC? |
a
| BMC is the same as BPC |
b
| BMC and BPC add to 360º |
c
| BMC and BPC add to 180º |
d
| BMC is twice BPC |
e
| BMC and BPC add to 90º |
f
| Nothing, BMC and BPC are not subtended by the same arc |
4
| What is known about angle YRN and MYR? |
a
| MNR is half MYR |
b
| MNR and MYR add to 180º |
c
| MNR and MYR add to 360º |
d
| MNR is twice MYR |
e
| Nothing, MNR and MYR are not subtended by the same arc |
f
| MNR is the same as MYR |
5
| What is known about angle CBY and DYB? |
a
| CBY and CDY add to 90º |
b
| Nothing, CBY and CDY are not subtended by the same arc |
c
| CBY and CDY add to 180º |
d
| CBY and CDY add to 360º |
e
| CBY is half CDY |
f
| CBY is twice CDY |
6
| What is known about angle XNP and CXN? |
a
| CPN and CXN add to 90º |
b
| CPN and CXN add to 360º |
c
| CPN is half CXN |
d
| CPN is the same as CXN |
e
| CPN is twice CXN |
f
| Nothing, CPN and CXN are not subtended by the same arc |
7
| What is known about angle ZCD and XZC? |
a
| XDC is the same as XZC |
b
| XDC and XZC add to 180º |
c
| XDC is twice XZC |
d
| Nothing, XDC and XZC are not subtended by the same arc |
e
| XDC and XZC add to 90º |
f
| XDC is half XZC |