Geometry of Circles - Inscribed Angle from Diameter (Level 1)

This math topic covers problems related to the "Geometry of Circles," specifically focusing on the concept of inscribed angles that originate from a diameter. The skill practiced involves finding the measure of angles that are inscribed by the endpoints of a diameter, a fundamental concept in circle geometry. Each problem presents a different setup involving a circle with a designated diameter and an angle measure to be determined, providing variety in applying the inscribed angle theorem. The worksheet includes multiple-choice answers for students to select their response based on their geometric calculations.

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Inscribed Angle from Diameter

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Find angle CNM in degrees given that CM forms a diameter

CMN

Geometry of Circles - Inscribed Angle from Diameter Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Angle from Diameter (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/
1
An svg image showing a math problem
Find angle ZPD in degrees given that ZD forms a diameter
a
150º
b
30º
c
90º
d
75º
e
60º
f
15º
2
An svg image showing a math problem
Find angle RZM in degrees given that RM forms a diameter
a
165º
b
150º
c
15º
d
75º
e
90º
f
180º
3
An svg image showing a math problem
Find angle XCR in degrees given that XR forms a diameter
a
30º
b
90º
c
135º
d
75º
e
180º
f
60º
4
An svg image showing a math problem
Find angle PMB in degrees given that PB forms a diameter
a
90º
b
180º
c
165º
d
60º
e
45º
f
135º
5
An svg image showing a math problem
Find angle PBR in degrees given that PR forms a diameter
a
150º
b
165º
c
45º
d
30º
e
90º
f
60º
6
An svg image showing a math problem
Find angle MCZ in degrees given that MZ forms a diameter
a
150º
b
165º
c
90º
d
30º
e
105º
f
45º
7
An svg image showing a math problem
Find angle ZXM in degrees given that ZM forms a diameter
a
150º
b
15º
c
60º
d
45º
e
120º
f
90º