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.
Practice:
Inscribed Angle from Diameter
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle CNP in degrees given that CP forms a diameter
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/ |
| Find angle ZPD in degrees given that ZD forms a diameter |
| 150º |
| 30º |
| 90º |
| 75º |
| 60º |
| 15º |
| Find angle RZM in degrees given that RM forms a diameter |
| 165º |
| 150º |
| 15º |
| 75º |
| 90º |
| 180º |
| Find angle XCR in degrees given that XR forms a diameter |
| 30º |
| 90º |
| 135º |
| 75º |
| 180º |
| 60º |
| Find angle PMB in degrees given that PB forms a diameter |
| 90º |
| 180º |
| 165º |
| 60º |
| 45º |
| 135º |
| Find angle PBR in degrees given that PR forms a diameter |
| 150º |
| 165º |
| 45º |
| 30º |
| 90º |
| 60º |
| Find angle MCZ in degrees given that MZ forms a diameter |
| 150º |
| 165º |
| 90º |
| 30º |
| 105º |
| 45º |
| Find angle ZXM in degrees given that ZM forms a diameter |
| 150º |
| 15º |
| 60º |
| 45º |
| 120º |
| 90º |