## To begin our construction we should construct a circle with center X and place a point C along its circumference.

## Next construct a diameter of circle X through point C by constructing the ray. The point where the ray exits the circle should be called A.

## Now construct another point along the circumference of circle X and call it Y. Using Y as a center andas a radius, construct a new circle Y.

## Construct the rayand label the point where it exits circle Y as B.

## If we hide all that was used in our construction we see the desired image below.

## The argument we will now investigate is that by construction,. See the proof below to show that this statement is valid.

## since they are both radii of circle X

## since they are both radii of circle Y

## by the transitive property of equality

## Thus,.

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