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Free geometry worksheet in which students develop and apply the theorem that a line parallel to a side of a triangle divides the other sides into segments with proportional lengths.
Free geometry worksheet in which students apply the theorem that a line parallel to a side of a triangle divides the other sides into proportional lengths to write and solve proportions, and use the converse theorem to determine if lines are parallel.

Activity 3.8​

Assignment 3.9

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Assignment 6.4

​Assignment 6.3

​Proportions in Triangles: Parallel Line Segments

 
Objectives
Develop and apply a proportion theorem in triangles having a line segment with endpoints on two sides that is parallel to the third side..
 
Use the converse of the theorem to identify parallel line segments.

Assignment 6.2

About Geometry Worksheet Assignment 6.3:             This assignment can be downloaded for free.

 

Assignment 6.3 is an introduction to proportion theorems resulting from a line segment intersecting two sides of a triangle.

 

Prerequisite Skills:  Calculate cross-products (Assignment 6.2).  Solve proportions (Assignment 6.2).  Solve algebraic equations with one variable.  Evaluate algebraic expressions.

 

Theorems:  A line parallel to one side of a triangle divides the other two sides into segments with lengths that are proportional.

                          If a line divides two sides of a triangle into segments with proportional lengths, then the line is parallel to the third side of the triangle.

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