Geometry of Circle

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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Tangent Angle - Rule

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What is known about angle MZB given that NB forms a tangent?

BNZM

?

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 NMZ given that XZ forms a tangent?
a
NMZ is always 180º
b
NMZ is always 45º
c
NMZ is always 90º
d
NMZ is always 60º
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 45º
c
ZCR is always 180º
d
ZCR is always 60º
3
An svg image showing a math problem
What is known about angle YRX given that PX forms a tangent?
a
YRX is always 60º
b
YRX is always 180º
c
YRX is always 90º
d
YRX is always 45º
4
An svg image showing a math problem
What is known about angle CMB given that NB forms a tangent?
a
CMB is always 180º
b
CMB is always 60º
c
CMB is always 90º
d
CMB is always 45º
5
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 180º
d
NCX is always 90º
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 180º
d
MXB is always 90º
7
An svg image showing a math problem
What is known about angle PNZ given that YZ forms a tangent?
a
PNZ is always 180º
b
PNZ is always 90º
c
PNZ is always 60º
d
PNZ is always 45º