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Free geometry worksheet in which students apply a theorem to calculate the measures of angles in the exterior of a circle from the measures of their intercepted arcs.
Free geometry worksheet in which students apply a theorem relating the measures of angles in the exterior of a circle and the measures of their intercepted arcs to calculate measures of angles and arcs.

Activity 3.8

Assignment 3.9

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Assignment 10.13

Angles in the Exterior of a Circle and Arc Measures

 
Objective
Develop and apply theorems relating angles in the exterior of circles and their intercepted arcs.
 
 
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Assignment 10.14

Assignment 10.12

Activity 10A

About Geometry Worksheet Assignment 10.13:              This assignment can be downloaded for free.          

 

Assignment 10.13 is an introduction to the theorem about the measures of angles with a vertex at the intersection of secants or tangents in the exterior of a circle and the measures of their intercepted arcs.

 

Prerequisite Skills:  Identify arcs intercepted by lines intersecting a circle (Assignment 10.10).  Solve algebraic equations with one variable.

 

Theorem:  The measure of an angle with vertex at the intersection of secants or tangents in the exterior of a circle is one-half the difference of the measures

                        of the arcs intercepted by the angles.

 

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