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.
Practice:
Inscribed Angles Subtended by Same Arc with Paired Angle - Rule
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What is known about angle XNP and CXN?
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 DCX and NDC? |
a
| NXC and NDC add to 360º |
b
| NXC is twice NDC |
c
| NXC is half NDC |
d
| NXC is the same as NDC |
e
| NXC and NDC add to 180º |
f
| Nothing, NXC and NDC are not subtended by the same arc |
2
| What is known about angle ZYM and PMY? |
a
| ZYM and ZPM add to 180º |
b
| ZYM is twice ZPM |
c
| ZYM and ZPM add to 90º |
d
| ZYM and ZPM add to 360º |
e
| Nothing, ZYM and ZPM are not subtended by the same arc |
f
| ZYM is the same as ZPM |
3
| What is known about angle MXD and MPD? |
a
| MPD is half MXD |
b
| Nothing, MPD and MXD are not subtended by the same arc |
c
| MPD and MXD add to 360º |
d
| MPD is the same as MXD |
e
| MPD is twice MXD |
f
| MPD and MXD add to 180º |
4
| What is known about angle ZCD and XZC? |
a
| XDC is half XZC |
b
| XDC is twice XZC |
c
| Nothing, XDC and XZC are not subtended by the same arc |
d
| XDC and XZC add to 180º |
e
| XDC and XZC add to 90º |
f
| XDC is the same as XZC |
5
| What is known about angle BMC and BPC? |
a
| Nothing, BMC and BPC are not subtended by the same arc |
b
| BMC and BPC add to 180º |
c
| BMC and BPC add to 360º |
d
| BMC and BPC add to 90º |
e
| BMC is the same as BPC |
f
| BMC is twice BPC |
6
| What is known about angle CXY and CNY? |
a
| CNY is half CXY |
b
| CNY and CXY add to 90º |
c
| CNY is twice CXY |
d
| CNY and CXY add to 360º |
e
| CNY is the same as CXY |
f
| CNY and CXY add to 180º |
7
| What is known about angle DPX and DCX? |
a
| DPX is the same as DCX |
b
| Nothing, DPX and DCX are not subtended by the same arc |
c
| DPX and DCX add to 360º |
d
| DPX is half DCX |
e
| DPX and DCX add to 90º |
f
| DPX is twice DCX |