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.
Practice:
Rule for Inscribed Angle from Diameter
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What is known about angle XPM given that XM forms a diameter?
Geometry of Circles - Rule for Inscribed Angle from Diameter Worksheet
| Math worksheet on 'Geometry of Circles - Rule for 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/ |
| What is known about angle DPR given that DR forms a diameter? |
| DPR is always 90º |
| DPR is always 45º |
| DPR is always 60º |
| DPR is always 180º |
| What is known about angle DXC given that DC forms a diameter? |
| DXC is always 45º |
| DXC is always 180º |
| DXC is always 60º |
| DXC is always 90º |
| What is known about angle YNR given that YR forms a diameter? |
| YNR is always 45º |
| YNR is always 180º |
| YNR is always 60º |
| YNR is always 90º |
| What is known about angle YDM given that YM forms a diameter? |
| YDM is always 90º |
| YDM is always 60º |
| YDM is always 180º |
| YDM is always 45º |
| What is known about angle PRM given that PM forms a diameter? |
| PRM is always 90º |
| PRM is always 60º |
| PRM is always 45º |
| PRM is always 180º |
| What is known about angle ZCP given that ZP forms a diameter? |
| ZCP is always 180º |
| ZCP is always 60º |
| ZCP is always 90º |
| ZCP is always 45º |
| What is known about angle YCZ given that YZ forms a diameter? |
| YCZ is always 90º |
| YCZ is always 180º |
| YCZ is always 45º |