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This diagram was created by starting with points \(A\) and \(B\) and using only a straightedge and compass to construct the rest. All steps of the construction are visible. Describe precisely the straightedge and compass moves required to construct the line \(CD\) in this diagram.
In the construction, \(A\) is the center of one circle, and \(B\) is the center of the other. Identify all segments that have the same length as segment \(AB\).
Two congruent circles, each passing through the center of the other at centers A and B. A vertical line segment is drawn through the circle’s intersection at points C and D. A horizontal line segment passes through a point on the left side of circle A labeled E and centers A and B. Radii A C, A D, B C and B D and chords E C and E D are drawn.
segment \(AC\)
segment \(AE\)
segment \(BC\)
segment \(CD\)
segment \(DE\)
This diagram was constructed with straightedge and compass tools. \(A\) is the center of one circle, and \(C\) is the center of the other. Select all line segments that must have the same length as segment \(AB\).
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
\(BA\)
\(AC\)
\(BC\)
\(BD\)
\(CD\)
Clare used a compass to make a circle with radius the same length as segment \(AB\). She labeled the center \(C\). Which statement must be true?
\(AB=CD\)
\(AB=CE\)
\(AB=CF\)
\(AB=EF\)