Question

kiran is trying to construct the perpendicular bisector to ab. he draws two circles. one circle is centered at a, and a smaller circle is centered at b. he then uses the two points of intersection created by the two circles to create segment de. what mistake has kiran made in his construction?

Explanation:

To construct the perpendicular bisector of a line - segment, the two circles centered at the endpoints of the line - segment should have the same radius. In Kiran's construction, one circle is smaller than the other, which means the points of intersection of the circles will not correctly define the perpendicular bisector.

Answer:

Kiran used circles of unequal radii. When constructing the perpendicular bisector of a line - segment \(AB\), the circles centered at \(A\) and \(B\) should have the same radius.