Sonta Murray

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6/3/03

 

QUESTION:

 

The vertex of an angle can appear on, inside, or outside a circle. How does the location and measure of the vertex angle compare with the measure(s) of the arc(s) it intercepts?

 

     

 

Answers:

1.       When the vertex is on the circle, the measure of the inscribed angle is 1/2 the measure of the minor arc.

 

2.       When the vertex is outside the circle, the measure is not 1/2 the measure of the minor arc.

See below.

 

Why:  By measuring the angles using Geosketch pad, the measurements proved that when the vertex is outside, the measure of the vertex was not 1/2 the measure of the arc.