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Geometry of Circles - Rule for Intersected Arc from Inscribed Angle (Level 1)

This math topic focuses on the relationships between angles and arcs in circle geometry. Specifically, it explores the rules governing the lengths of intersected arcs relative to inscribed angles. Problems are designed to assess understanding of how arc measures compare to the angles subtending them, including direct equality, halves, doubles, and their additive complements to 90°, 180°, and 360°. Each question presents a different configuration within a circle, requiring analysis of arcs and angles to determine their mathematical relationship.

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

Rule for Intersected Arc from Inscribed Angle

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What is known about the length (in degrees) of intersected arc ZN compared to angle ZPN?

ZNP