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Understanding Angles, Arcs, and Chords in Geometry

This lesson covers essential vocabulary and concepts related to angles, arcs, and chords in geometry. Key terms include semi-circle, minor arc, and major arc, with definitions and properties. Students will learn that a semi-circle measures 180 degrees, a minor arc is less than 180 degrees, and a major arc exceeds that. The lesson emphasizes central angles and arc lengths, and includes examples to find missing values related to angles and arcs. This foundational understanding is crucial for advanced geometric concepts and problem-solving.

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Understanding Angles, Arcs, and Chords in Geometry

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Presentation Transcript

  1. Lesson 10-2: Angles, Arcs, and Chords Geometry CP Mrs. Mongold

  2. Vocabulary Words • Semi-circle: half the circle (180 degrees) • Minor arc: less than 180 degrees • Name with two letters • Major arc: more than 180 degrees • Name with three letters • Minor arc = central angle • Arc length:

  3. B Minor arc Minor arc Angles AXB and BXC are central angles Minor arc = AB or BC Semicircle = ABC or CDA Major arc = ABD or CBD AB + BC = 180 C Central angle X A D Semicircle

  4. Find x

  5. Find x and angle AZE

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