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Page 1, #5.

Let A = (0,0), B =(7,1), C =(12,6), D =(5,5). Plot these points and connect the dots to form the quadrilteral ABCD. Verify that all four sides have the same length.

1. Plot all the points:
2. In order to prove that each side is the same length find the Hypotenuse of all the lines:equation-1.png


wiki_pic_3.ggb.png
The length of each Hypotenuse is shown as 7.07


To make this model on GeoGebra simply created four triangles that correspond with each side of the quadrilateral. Once you make each triangle double click on hypotenuse and tell the program to show the value.


3. Now it is easy to tell that this shape is equilateral because all the sides are the same exact length.