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Geometry worksheet in which students develop and apply a theorem relating the lengths of segments on transversals intercepted by parallel lines.

Activity 3.8​

Assignment 3.9

​Assignment 6.4

​Parallel Lines and Proportions

 
Objective
Develop and apply a theorem for the lengths of line segments intercepted by paralllel lines on two transversals.  
 
Use the converse of the theorem to identify parallel lines.
 
 
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Geometry worksheet to help students find lengths on transversals of segments intercepted by parallel lines, and use the converse to identify parallel lines.

About Geometry Worksheet Assignment 6.4:     

 

Assignment 6.4 is an introduction to proportion theorems resulting from pairs of transversals intersecting three or more parallel lines.

 

Prerequisite Skills:  Calculate cross-products (Assignment 6.2).  Solve proportions (Assignment 6.2).

 

Theorems:  Parallel lines intercept segments with proportional lengths on all transversals,

                          Lines that divide common transversals into segments with proportional lengths are parallel.

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