Rule for Inscribed Angle from Diameter (Level 1)

This math topic focuses on the rule for inscribed angles in circles, particularly when one side of the angle forms a diameter. Students are asked to determine the measure of various inscribed angles based on the premise that the line segment forming these angles is a diameter. The consistent theme across the provided problems is understanding and applying the knowledge that an angle inscribed in a semicircle is a right angle. Each question presents multiple-choice answers, where students need to identify the correct degree measure of the angle, usually highlighting the rule that such an angle measures 90 degrees.

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

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Geometry of Circles - Rule for Inscribed Angle from Diameter Worksheet

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Geometry of Circles - Rule for Inscribed Angle from Diameter
1
An svg image showing a math problem
What is known about angle RBN given that RN forms a diameter?
a
RBN is always 60º
b
RBN is always 90º
c
RBN is always 45º
d
RBN is always 180º
2
An svg image showing a math problem
What is known about angle YNR given that YR forms a diameter?
a
YNR is always 60º
b
YNR is always 45º
c
YNR is always 180º
d
YNR is always 90º
3
An svg image showing a math problem
What is known about angle ZPM given that ZM forms a diameter?
a
ZPM is always 180º
b
ZPM is always 45º
c
ZPM is always 90º
d
ZPM is always 60º
4
An svg image showing a math problem
What is known about angle MXN given that MN forms a diameter?
a
MXN is always 45º
b
MXN is always 180º
c
MXN is always 60º
d
MXN is always 90º
5
An svg image showing a math problem
What is known about angle YPZ given that YZ forms a diameter?
a
YPZ is always 60º
b
YPZ is always 45º
c
YPZ is always 90º
d
YPZ is always 180º
6
An svg image showing a math problem
What is known about angle NXR given that NR forms a diameter?
a
NXR is always 45º
b
NXR is always 60º
c
NXR is always 90º
d
NXR is always 180º
7
An svg image showing a math problem
What is known about angle PRX given that PX forms a diameter?
a
PRX is always 90º
b
PRX is always 180º
c
PRX is always 45º
d
PRX is always 60º
8
An svg image showing a math problem
What is known about angle CBZ given that CZ forms a diameter?
a
CBZ is always 90º
b
CBZ is always 45º
c
CBZ is always 60º
d
CBZ is always 180º