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Geometry worksheet in which students develop a theorem relating the lengths of segments of intersecting secants.
Geometry worksheet in which students complete a proof and apply a theorem relating the lengths of segments of intersecting secants.

Activity 3.8​

Assignment 3.9

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​Assignment 10.22

​Equal Products: Intersecting Secants

 
Objective
Develop and apply a theorem relating the lengths of segments of intersecting secants.
 
 

About Geometry Worksheet Assignment 10.22:                 

 

Assignment 10.22 is an introduction to the theorem about the lengths of segments of intersecting secants

 

Prerequisite Skills:  Measure lengths to the nearest cm (Assignment 1.11).  Identify arcs intercepted by inscribed angles (Assignment 10.10).  Solve algebraic equations with one variable.

 

Theorem:  For two secants intersecting in the exterior of a circle, the products of the lengths of each secant segment and its exterior segment are equal.

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