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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Geometry of Circles - Tangent Angle - Rule
1
An svg image showing a math problem
What is known about angle BZN given that DN forms a tangent?
a
BZN is always 60º
b
BZN is always 45º
c
BZN is always 180º
d
BZN is always 90º
2
An svg image showing a math problem
What is known about angle PCZ given that DZ forms a tangent?
a
PCZ is always 180º
b
PCZ is always 60º
c
PCZ is always 90º
d
PCZ is always 45º
3
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 60º
d
ZCR is always 180º
4
An svg image showing a math problem
What is known about angle MYN given that XN forms a tangent?
a
MYN is always 180º
b
MYN is always 60º
c
MYN is always 45º
d
MYN is always 90º
5
An svg image showing a math problem
What is known about angle NMZ given that XZ forms a tangent?
a
NMZ is always 45º
b
NMZ is always 90º
c
NMZ is always 60º
d
NMZ is always 180º
6
An svg image showing a math problem
What is known about angle YMX given that ZX forms a tangent?
a
YMX is always 45º
b
YMX is always 180º
c
YMX is always 90º
d
YMX is always 60º
7
An svg image showing a math problem
What is known about angle RNP given that ZP forms a tangent?
a
RNP is always 60º
b
RNP is always 180º
c
RNP is always 45º
d
RNP is always 90º
8
An svg image showing a math problem
What is known about angle BMZ given that XZ forms a tangent?
a
BMZ is always 45º
b
BMZ is always 90º
c
BMZ is always 180º
d
BMZ is always 60º