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Geometry worksheet in which students name tangent segments, and develop and apply a theorem about the lengths of tangent segments with a common endpoint.
Geometry worksheet to help students apply the theorem about the lengths of tangent segments with a common endpoint to find lengths of sides of circumscribed triangles and angle measures in isosceles triangles with tangent segments as sides..

Activity 3.8

Assignment 3.9

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Assignment 10.6

Tangent Segments

 
Objectives
Name tangent segments.  
 
Develop and apply a theorem about the lengths of tangent segments with a common endpoint.
 
 

About Geometry Worksheet Assignment 10.6:                 

 

Assignment 10.6 is an introduction to tangent segments.

 

Prerequisite Skills:  Identify and name tangents (Assignment 10.4).  Measure line segments to the nearest cm. (Assignment 1.11).  Calculate the measures of angles in isoceles triangles (Assignment 4.11).  Solve algebraic equations with one variable.

 

Definition:  A tangent segment is a line segment tangent to a circle at an endpoint of the line segment.. 

 

Theorem:  Tangent segments with a common endpoint in the exterior of a circle are congruent.

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