Question

the diagram was constructed with straightedge and compass tools. name all segments that have the same length as segment ac.

Explanation:

Step1: Recall compass - construction property

When using a compass, the radius of a circle remains the same throughout the construction. Here, if we assume the circles are constructed with the compass set to a certain radius. Segment \(AC\) is a radius of the left - most circle.

Step2: Identify other radii

Segments \(AB\), \(BE\), \(ED\) are also radii of the respective circles and since the circles are constructed with the same compass setting (implied by the problem context of straight - edge and compass construction), they have the same length as \(AC\).

Answer:

Segments \(AB\), \(BE\), \(ED\)