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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.
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 6.3

​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.

About Geometry Worksheet Assignment 6.3:     

 

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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