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**Day six : A Circle and Quadrilaterals**

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by Nami Youn

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**Objective**

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To understand the properties of the inscribed quadrilaterals in a circle

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To understand a circle inscribed or circumscribec in a square

**1. The properties of the inscribed
quadrilaterals in a circle**

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

gsp file

**2. Inscribed and Circumscribed**

**Inscribed**

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

**Circumscribed**

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

gsp file

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