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Geometry for School and Home
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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