Objective: Inscribe and circumscribe polygons. Warm up 1. Length of arc AB is inches. The radius of the circle is 16 inches. Use proportions to find.

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Presentation transcript:

Objective: Inscribe and circumscribe polygons. Warm up 1. Length of arc AB is inches. The radius of the circle is 16 inches. Use proportions to find.

2. Make an angle and construct the angle bisector.

3. Draw a line q and plot a point R not on the line. Construct a line perpendicular to q passing through R.

Inscribed triangle Steps: 1. Make perpendicular bisectors to at least two sides. 2.Connect point of interception (circumcenter) to at least one vertex. Use segment as radius. 3.Using circumcenter as center and the radius construct circle.

a-triangle

Circumscribed Triangle Steps: 1.Make at least two angle bisectors. 2.Use point (incenter) where the bisectors meet to make a perpendicular segment to at least one side. 3.Use incenter as the center and segment constructed in step 2 a radius to construct circle.