Question

question 11 of 12
what is the best next step in the construction of the perpendicular bisector of ab?
a. use a straightedge to draw an isosceles triangle by first drawing a line segment from b to the lower point where the circles intersect.
b. use a straightedge to draw an isosceles triangle by first drawing line segments from a to the bottom where the two circle intersect
c. it is not possible to bisect ab with this construction.
d. use a straightedge to draw an equilateral triangle by drawing line segments from a and b to the point at the bottom where the two circles intersect.

Explanation:

To construct a perpendicular bisector of a line segment, after drawing two intersecting circles centered at its endpoints, the next step is to connect the intersection - points. Here, connecting A and B to the bottom intersection point forms an equilateral triangle which helps in finding the perpendicular bisector.

Answer:

D. Use a straightedge to draw an equilateral triangle by drawing line segments from A and B to the point at the bottom where the two circles intersect.