Rule for Intersected Arc from Inscribed Angle (Level 1)
This math topic focuses on the relationships between angles and arcs in circle geometry. Specifically, it explores the rules governing the lengths of intersected arcs relative to inscribed angles. Problems are designed to assess understanding of how arc measures compare to the angles subtending them, including direct equality, halves, doubles, and their additive complements to 90°, 180°, and 360°. Each question presents a different configuration within a circle, requiring analysis of arcs and angles to determine their mathematical relationship.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreGeometry of Circles - Rule for Intersected Arc from Inscribed Angle Worksheet
| Math worksheet on 'Geometry of Circles - Rule for Intersected Arc from Inscribed Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
1
| What is known about the length (in degrees) of intersected arc RP compared to angle RNP? |
a
| RP and RNP add to 360º |
b
| RP is the same as RNP |
c
| RP is twice RNP |
d
| Nothing, RP and RNP are not subtended by the same arc |
e
| RP and RNP add to 90º |
f
| RP and RNP add to 180º |
2
| What is known about the length (in degrees) of intersected arc DZ compared to angle DXZ? |
a
| DZ is half DXZ |
b
| DZ is twice DXZ |
c
| DZ and DXZ add to 360º |
d
| DZ is the same as DXZ |
e
| DZ and DXZ add to 90º |
f
| Nothing, DZ and DXZ are not subtended by the same arc |
3
| What is known about the length (in degrees) of intersected arc MD compared to angle MPD? |
a
| MD is the same as MPD |
b
| MD and MPD add to 90º |
c
| MD and MPD add to 180º |
d
| MD is twice MPD |
e
| Nothing, MD and MPD are not subtended by the same arc |
f
| MD and MPD add to 360º |
4
| What is known about the length (in degrees) of intersected arc MY compared to angle MBY? |
a
| MY is half MBY |
b
| MY is the same as MBY |
c
| MY and MBY add to 180º |
d
| MY is twice MBY |
e
| MY and MBY add to 90º |
f
| Nothing, MY and MBY are not subtended by the same arc |
5
| What is known about the length (in degrees) of intersected arc CX compared to angle CDX? |
a
| CX and CDX add to 90º |
b
| CX and CDX add to 180º |
c
| CX and CDX add to 360º |
d
| CX is the same as CDX |
e
| CX is twice CDX |
f
| CX is half CDX |
6
| What is known about the length (in degrees) of intersected arc MR compared to angle MXR? |
a
| Nothing, MR and MXR are not subtended by the same arc |
b
| MR is half MXR |
c
| MR and MXR add to 90º |
d
| MR and MXR add to 180º |
e
| MR is twice MXR |
f
| MR and MXR add to 360º |
7
| What is known about the length (in degrees) of intersected arc MZ compared to angle MPZ? |
a
| MZ is half MPZ |
b
| MZ and MPZ add to 180º |
c
| MZ and MPZ add to 90º |
d
| MZ is twice MPZ |
e
| Nothing, MZ and MPZ are not subtended by the same arc |
f
| MZ and MPZ add to 360º |