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
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What is known about angle BZC given that BC 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 YMP given that YP forms a diameter? |
| YMP is always 45º |
| YMP is always 90º |
| YMP is always 60º |
| YMP is always 180º |
| What is known about angle ZCP given that ZP forms a diameter? |
| ZCP is always 45º |
| ZCP is always 60º |
| ZCP is always 90º |
| ZCP is always 180º |
| What is known about angle ZXB given that ZB forms a diameter? |
| ZXB is always 45º |
| ZXB is always 90º |
| ZXB is always 180º |
| ZXB is always 60º |
| What is known about angle BZC given that BC forms a diameter? |
| BZC is always 90º |
| BZC is always 45º |
| BZC is always 60º |
| BZC is always 180º |
| What is known about angle NXR given that NR forms a diameter? |
| NXR is always 90º |
| NXR is always 180º |
| NXR is always 45º |
| NXR is always 60º |
| What is known about angle DPR given that DR forms a diameter? |
| DPR is always 90º |
| DPR is always 180º |
| DPR is always 60º |
| DPR is always 45º |
| What is known about angle ZBR given that ZR forms a diameter? |
| ZBR is always 180º |
| ZBR is always 45º |
| ZBR is always 90º |
| ZBR is always 60º |