Question

question 4 (1 point)
(01.02 mc)

erik is bisecting a segment with technology which of the following describes his next step?
draw a circle with a center c and a radius equal to cb.
draw the point of intersection between circle b and segment ab.
draw a circle with the center a and a radius equal to cb.
draw point e and create a ray from point b through point e

Explanation:

Step1: Recall the steps of bisecting a segment

To bisect a segment \(AB\), we first have a circle centered at \(B\). The next step is to create another circle.

Step2: Analyze each option

• Option a: Drawing a circle with center \(C\) and radius \(CB\) is not the standard next - step in bisecting segment \(AB\).
• Option b: The point of intersection between circle \(B\) and segment \(AB\) is already part of the given figure (\(C\) is on the circle centered at \(B\) and on \(AB\))
• Option c: To bisect segment \(AB\), after having a circle centered at \(B\) (with radius \(AB\) or \(CB\)), the next step is to draw a circle with center \(A\) and radius equal to \(CB\) (or \(AB\)). This will help in finding the perpendicular bisector.
• Option d: There is no indication of point \(E\) in the initial construction steps for bisecting segment \(AB\) at this stage.

Answer:

C. Draw a circle with the center \(A\) and a radius equal to \(CB\).