Problem 1 Naming Arcs
Plan
How can you identify the minor arcs?
Since a minor arc contains all the points in the interior of a central angle, start by identifying the central angles in the diagram.
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What are the minor arcs of
The minor arcs are
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What are the semicircles of
The semicircles are
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What are the major arcs of
The major arcs that contain point A are
✓ Got It?
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- What are the minor arcs of
- What are the semicircles of
- What are the major arcs of
- What are the minor arcs of
Take note Key Concept: Arc Measure
Arc Measure
The measure of a minor arc is equal to the measure of its corresponding central angle.
The measure of a major arc is the measure of the related minor arc subtracted from 360.
The measure of a semicircle is 180.
Example
Adjacent arcs are arcs of the same circle that have exactly one point in common. You can add the measures of adjacent arcs just as you can add the measures of adjacent angles.
Take note Postulate 10-2: Arc Addition Postulate
The measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs.
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