HomePricing

Geometry of Circles - 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.

View Unit

Tangent Angle - Rule

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is known about angle NCX given that MX forms a tangent?

XMCN

Geometry of Circles - Tangent Angle - Rule Worksheet

Mobius Math Club logo
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 ZCR given that YR forms a tangent?
a
ZCR is always 45º
b
ZCR is always 60º
c
ZCR is always 180º
d
ZCR is always 90º
2
An svg image showing a math problem
What is known about angle YRX given that PX forms a tangent?
a
YRX is always 90º
b
YRX is always 60º
c
YRX is always 45º
d
YRX is always 180º
3
An svg image showing a math problem
What is known about angle XPN given that MN forms a tangent?
a
XPN is always 60º
b
XPN is always 45º
c
XPN is always 90º
d
XPN is always 180º
4
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 180º
c
MZB is always 45º
d
MZB is always 60º
5
An svg image showing a math problem
What is known about angle BYP given that XP forms a tangent?
a
BYP is always 60º
b
BYP is always 90º
c
BYP is always 45º
d
BYP is always 180º
6
An svg image showing a math problem
What is known about angle XZN given that BN forms a tangent?
a
XZN is always 90º
b
XZN is always 45º
c
XZN is always 180º
d
XZN is always 60º
7
An svg image showing a math problem
What is known about angle XBM given that DM forms a tangent?
a
XBM is always 90º
b
XBM is always 180º
c
XBM is always 60º
d
XBM is always 45º