Angle Relationships with Circles / 10.5

10.5 Several Theorems and sample problems relating circles and associated angles This lesson demonstrates the following theorems from the McDougal-Littel high school geometry book: **Tangent - Chord Angle Theorem** THEOREM 10.11 If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc. **Chord-Chord Angle Theorem** THEOREM 10.12 ANGLES INSIDE THE CIRCLE THEOREM If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle. **Secant-Tangent Angle Theorem** **Tangent-Tangent Angle Theorem** **Secant-Secant Angle Theorem** THEOREM 10.13 ANGLES OUTSIDE THE CIRCLE THEOREM If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs. Reference Section 10.5 in the McDougal-Littell Geometry Textbook. Sample exercises: numbers: 4, 8, 9, 10, 11, 12, 16, 17, 18 -------------------- Each video in this series is designed to accompany a specific chapter and section in the McDougal-Littel Geometry text book for high school geometry.

Видео Angle Relationships with Circles / 10.5 автора Математический урок