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.

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

Geometry of Circles - Inscribed Angle from Diameter Worksheet

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

Find angle NPX in degrees given that NX forms a diameter

a

30º

b

165º

c

135º

d

90º

e

150º

f

105º

2

Find angle DRZ in degrees given that DZ forms a diameter

a

165º

b

60º

c

15º

d

120º

e

90º

f

45º

3

Find angle CZP in degrees given that CP forms a diameter

a

180º

b

45º

c

90º

d

135º

e

150º

f

15º

4

Find angle BND in degrees given that BD forms a diameter

a

105º

b

120º

c

15º

d

90º

e

75º

f

45º

5

Find angle PBR in degrees given that PR forms a diameter

a

60º

b

165º

c

90º

d

45º

e

30º

f

150º

6

Find angle CNP in degrees given that CP forms a diameter

a

90º

b

165º

c

180º

d

60º

e

30º

f

120º

7

Find angle RXM in degrees given that RM forms a diameter

a

165º

b

90º

c

105º

d

15º

e

60º

f

120º