Clare used a compass to make a circle with radius the same length as segment . She labeled the center . Which statement is true?

The diagram was constructed with straightedge and compass tools. Points , , , , and are all on line segment . Name a line segment that is half the length of . Explain how you know.

This diagram was constructed with straightedge and compass tools. is the center of one circle, and is the center of the other.

Two circles intersect. Large circle center A. Smaller circle center C, goes through center A and intersects larger circle at point B. Point D on smaller circle. Segment A D passes through C. Segments A B, C B, and D B are drawn.

1. The two circles intersect at point . Label the other intersection point .
2. How does the length of segment compare to the length of segment ?