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![Geometry Worksheets for School and Home](https://static.wixstatic.com/media/49609e_4375edf449221b9ec0654010a69c6864.png/v1/fill/w_80,h_80,al_c,q_85,usm_0.66_1.00_0.01,enc_auto/49609e_4375edf449221b9ec0654010a69c6864.png)
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Geometry for School and Home
![Geometry worksheet in which students develop a theorem relating the lengths of segments of intersecting secants.](https://static.wixstatic.com/media/49609e_af097df04f004ae1820994c04d52f85a.jpg/v1/fill/w_408,h_524,al_c,q_80,usm_0.66_1.00_0.01,enc_auto/49609e_af097df04f004ae1820994c04d52f85a.jpg)
![Geometry worksheet in which students complete a proof and apply a theorem relating the lengths of segments of intersecting secants.](https://static.wixstatic.com/media/49609e_020806d932df4d758eb6a609297edac1.jpg/v1/fill/w_404,h_543,al_c,q_80,usm_0.66_1.00_0.01,enc_auto/49609e_020806d932df4d758eb6a609297edac1.jpg)
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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