Inscribed Angles Subtended by Same Arc - Rule (Level 1)
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.
moreGeometry 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/ |
1
| What is known about angle ZBY and ZPY given that they are both subtended by arc ZY? |
a
| ZBY and ZPY add to 90º |
b
| ZBY is half ZPY |
c
| ZBY is twice ZPY |
d
| Nothing, ZBY and ZPY are not subtended by the same arc |
e
| ZBY and ZPY add to 360º |
f
| ZBY is the same as ZPY |
2
| What is known about angle DBN and DRN given that they are both subtended by arc DN? |
a
| Nothing, DBN and DRN are not subtended by the same arc |
b
| DBN is the same as DRN |
c
| DBN is half DRN |
d
| DBN is twice DRN |
e
| DBN and DRN add to 90º |
f
| DBN and DRN add to 180º |
3
| What is known about angle RMY and RCY given that they are both subtended by arc RY? |
a
| RMY and RCY add to 360º |
b
| Nothing, RMY and RCY are not subtended by the same arc |
c
| RMY is twice RCY |
d
| RMY and RCY add to 90º |
e
| RMY is the same as RCY |
f
| RMY and RCY add to 180º |
4
| What is known about angle MDY and MNY given that they are both subtended by arc MY? |
a
| MDY and MNY add to 90º |
b
| MDY is half MNY |
c
| MDY is the same as MNY |
d
| MDY and MNY add to 360º |
e
| Nothing, MDY and MNY are not subtended by the same arc |
f
| MDY is twice MNY |
5
| What is known about angle PYR and PXR given that they are both subtended by arc PR? |
a
| PYR is twice PXR |
b
| PYR is the same as PXR |
c
| PYR and PXR add to 90º |
d
| PYR and PXR add to 180º |
e
| PYR and PXR add to 360º |
f
| PYR is half PXR |
6
| What is known about angle MPZ and MCZ given that they are both subtended by arc MZ? |
a
| MPZ and MCZ add to 180º |
b
| MPZ is the same as MCZ |
c
| Nothing, MPZ and MCZ are not subtended by the same arc |
d
| MPZ is half MCZ |
e
| MPZ and MCZ add to 360º |
f
| MPZ is twice MCZ |
7
| What is known about angle BYZ and BDZ given that they are both subtended by arc BZ? |
a
| BYZ is the same as BDZ |
b
| BYZ and BDZ add to 90º |
c
| BYZ is twice BDZ |
d
| BYZ and BDZ add to 180º |
e
| BYZ and BDZ add to 360º |
f
| Nothing, BYZ and BDZ are not subtended by the same arc |