The <u>correct diagram</u> is attached.

Explanation:

Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.

Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.

Measure the distance from C to B and from B to D. They will be the same.

Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.

Using a compass and straightedge:

First construct segment CD, being sure to label the endpoints.

Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.

With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.

Connect E to CD using a straightedge; mark the intersection point as B.

Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.

AB will be the same distance as CB and BD.