Tangent Angle - Rule (Level 1)

This math topic focuses on the geometry of circles, specifically examining the tangent angle rule. It includes various problems that require determining the properties of an angle formed at the point where a tangent meets a circle. Each question presents a different diagram where a tangent intersects a circle, and students must identify the measure of a specific angle based on this geometric configuration. The options given generally include angles like 90°, 45°, 60°, and 180°, inviting students to apply their understanding of the tangent angle theorem in geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Tangent Angle - Rule Worksheet

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Math worksheet on 'Geometry of Circles - Tangent Angle - Rule (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/
1
An svg image showing a math problem
What is known about angle MZB given that NB forms a tangent?
a
MZB is always 90º
b
MZB is always 60º
c
MZB is always 180º
d
MZB is always 45º
2
An svg image showing a math problem
What is known about angle ZCR given that YR forms a tangent?
a
ZCR is always 90º
b
ZCR is always 60º
c
ZCR is always 45º
d
ZCR is always 180º
3
An svg image showing a math problem
What is known about angle MYN given that XN forms a tangent?
a
MYN is always 60º
b
MYN is always 90º
c
MYN is always 45º
d
MYN is always 180º
4
An svg image showing a math problem
What is known about angle NCX given that MX forms a tangent?
a
NCX is always 45º
b
NCX is always 60º
c
NCX is always 90º
d
NCX is always 180º
5
An svg image showing a math problem
What is known about angle NMZ given that XZ forms a tangent?
a
NMZ is always 180º
b
NMZ is always 60º
c
NMZ is always 90º
d
NMZ is always 45º
6
An svg image showing a math problem
What is known about angle MXB given that PB forms a tangent?
a
MXB is always 45º
b
MXB is always 60º
c
MXB is always 90º
d
MXB is always 180º
7
An svg image showing a math problem
What is known about angle NRC given that PC forms a tangent?
a
NRC is always 90º
b
NRC is always 45º
c
NRC is always 180º
d
NRC is always 60º
Geometry of Circles - Tangent Angle - Rule (Level 1) - Mobius Math