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

Activity 3.8​

Assignment 3.9

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​Assignment 10.23

​Equal Products: Intersecting Secant and Tangent

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

About Geometry Worksheet Assignment 10.23:                 

 

Assignment 10.23 is an introduction to the theorem about the lengths of segments of intersecting secants and tangents.

 

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 an intersecting tangent and secant, the length of the tangent segment squared is equal to the product of the lengths of the secant segment and its exterior segment.

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