Barney

By

Tennille Rushin

 

 

Barney is in the triangular room shown here. He walks from a point on AC parallel to BC. When he reaches AB, he turns and walks parallel to AC. When he reaches BC, he turns and walks parallel to AB. How many times will Barney reach a wall before returning to his starting point?

 

 

 

 

First let’s construct a GSP sketch.  Construct a triangle and label the vertices A, B, and C.  Then place a point on segment AC and create a parallel line to segment BC.  Create a second point at that intersection and make a parallel line to AC.  Create a third point and parallel line to AB.  Use the fourth point to create a parallel line to BC. Take the next point and create a parallel line to point AC.  Use the last point to make a parallel line to AB.  This will complete your path.

 

 

Click here to open a GSP file

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