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Construct a Square 5

Author:Mrs. Faulk, IM Algebra 1, Geometry, Algebra 2 , GeoGebra Classroom Activities

Use straightedge and compass tools to construct a square with segment AB as one of the sides.

Here is square ABCD with diagonal BD drawn:

  • Construct a circle centered at  with radius .
  • Construct a circle centered at  with radius .
  • Draw the diagonal and write a conjecture about the relationship between the diagonals and .
  • Label the intersection of the diagonals as point  and construct a circle centered at  with radius .
How are the diagonals related to this circle?

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