Objective

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To understand the properties of the inscribed quadrilaterals in a circle

To understand a circle inscribed  or circumscribec in a square 

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Property  : The quadrilateral can be inscribed in a circle, if and only if opposite angles of a quadrilateral are supplementary.
 
 

gsp file
 

A circle is inscribed in a square if each side of the square is tangent to the circle.

A circle is circumscribed about a square if each vertex of the square lies on the circle.
 

gsp file

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