Question

use straightedge and compass tools to construct a line perpendicular to (ell) that goes through (c).

Explanation:

Step1: Set compass width

Set the compass to a convenient width. Place the compass point on C.

Step2: Draw arcs on line l

Draw two arcs that intersect line l at two distinct points, say A and B.

Step3: Adjust compass width

Widen the compass width. Place the compass point on A and draw an arc above the line l.

Step4: Repeat from other point

Without changing the compass width, place the compass point on B and draw an arc that intersects the previous arc, say at point D.

Step5: Draw perpendicular line

Use the straight - edge to draw a line from C to D. This line is perpendicular to l.

Answer:

The constructed line CD is perpendicular to line l and passes through point C.