To construct a line passing through the point C, so that is perpendicular to AB, we need two things:
• That the line is perpendicular to AB
,
• that the line passes through C.
We discard the options A and B because they would not be perpendicular or pass through C.
The correct option is:
C: Construction of a perpendicular bisector through C.
This is because a bisector line would ensure that the line we construct is perpendicular (90° with respect to AB) and also it wuld go through the point C. So it cover our two needs.
Note: We discard option D because the line of the square would not pass through C.
