Question

the diagram below shows a partly completed construction of the perpendicular bisector of ab. complete the construction.

Explanation:

Step1: Draw a circle with center at B and radius AB

Using the circle - drawing tool, set the center at point B and the radius equal to the length of segment AB.

Step2: Find the intersection points of the two circles

The two circles (one centered at A with radius AB and the other centered at B with radius AB) will intersect at two points.

Step3: Draw a line through the intersection points

Using the line - drawing tool, draw a line passing through the two intersection points of the circles. This line is the perpendicular bisector of segment AB.

Answer:

The perpendicular bisector of segment \(AB\) is drawn by first drawing a circle centered at \(B\) with radius \(AB\), then finding the intersection points of the two circles (the circle centered at \(A\) with radius \(AB\) and the newly - drawn circle centered at \(B\) with radius \(AB\)), and finally drawing a line through these intersection points.