All Advanced Rules (Level 1)

This math topic focuses on the advanced rules of circular geometry. It includes practicing the application of geometry rules to find angles and lengths within circle-related diagrams. Problems often request the user to identify the correct rule to solve specific problems, such as finding specific angles or lengths by referring to provided diagrams and options like calculating proportional or relational measurements between parts of a circle or connected lines. The problems aim to enhance understanding of relationships and properties inherent to circles and their radii, chords, and tangents.

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

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Geometry of Circles - All Advanced Rules Worksheet

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Geometry of Circles - All Advanced Rules
1
What geometry rule would help find length N?
An svg image showing a math problem
a
Length M is half N
b
Lengths M and N are the same
c
Length M is twice N
2
What geometry rule would help find angle X?
An svg image showing a math problem
a
Angle X is half N - P
b
Angle P is twice N - X
c
Angle P is half of N - X
3
What geometry rule would help find length D?
An svg image showing a math problem
a
Lengths D times Z equals P times M
b
Lengths P times Z equals D times M
c
Lengths P plus Z equals D plus M
4
What geometry rule would help find angle Z?
An svg image showing a math problem
a
Angles N and Z are identical
b
Angles N and Z add up to 180°
c
Angles R and Z add up to 180°
d
Angles N and Z add up to 90°
5
What geometry rule would help find angle P?
An svg image showing a math problem
a
Angles P and X add up to 180°
b
Angles P and X are identical
c
Angles P and X add up to 90°
d
Angles P and C add up to 180°
6
What geometry rule would help find length X?
An svg image showing a math problem
a
Lengths X plus R equals P plus N
b
Lengths X times R equals P times N
c
Lengths P times R equals X times N
7
What geometry rule would help find angle P?
An svg image showing a math problem
a
Angle B is twice Z - P
b
Angle B is half of Z - P
c
Angle P is half Z - B
8
What geometry rule would help find angle X?
An svg image showing a math problem
a
Angle N is half X - M
b
Angle M is half of X - N
c
Angle M is twice X - N