12-3 Inscribed Angles
Objectives
To find the measure of an inscribed angle
To find the measure of an angle formed by a tangent and a chord
Dynamic Activity
Inscribed Angles
Lesson Vocabulary
- inscribed angle
- intercepted arc
An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the sides of an inscribed angle, and its other points in the interior of the angle is an intercepted arc. In the diagram, inscribed
Essential Understanding Angles formed by intersecting lines have a special relationship to the arcs the intersecting lines intercept. In this lesson, you will study arcs formed by inscribed angles.
Take Note Theorem 12-11: Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of its intercepted arc.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs