Question

In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc intersections needed?

A. Less than half the length of AB ; 1 intersection needed

B. Less than half the length of AB ; 2 intersections needed

C. More than half the length of AB ; 1 intersection needed

D. More than half the length of AB ; 2 intersections needed

I know it's either option C or option D, but I don't know how many intersections are needed. Is anyone able to please help me on this question?

Answer 1

Answer:

D. More than half the length of AB ; 2 intersections needed

Step-by-step explanation:

Bisection implies dividing a given segment or angle into two equal halves.

To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.