Question

to construct a line perpendicular to line l, that goes through a given point c, start by finding 2 points, labeled here as a and b, on the given line l that are the same distance from c. then create 2 circles of the same size centered at a and b that go through each others centers. connect the intersection points of those circles to draw a perpendicular line, ef.

Explanation:

Step1: Locate points A and B

Find two points A and B on line l equidistant from C.

Step2: Draw circles

Draw circles centered at A and B with equal radii such that they pass through each other's centers.

Step3: Construct perpendicular line

Connect the intersection - points E and F of the two circles to get the perpendicular line to l through C.

Answer:

The steps described above can be used to construct a line perpendicular to line l through point C.