What is the first step in the construction of a line perpendicular to AB and passing through an external point M? Assume that the construction uses only a compass and a straightedge.

A.) Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB .

B.) Place the compass needle at any point on AB , and set the compass width to M.

C.) Draw a line from point M passing through AB , and mark the point of intersection.

D.) Place the compass needle at any two points on AB, and draw two arcs through M.

Question

What is the first step in the construction of a line perpendicular to AB  and passing through an external point M? Assume that the construction uses only a compass and a straightedge.


A.) Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB .



B.) Place the compass needle at any point on AB , and set the compass width to M.



C.) Draw a line from point M passing through AB , and mark the point of intersection.



D.) Place the compass needle at any two points on  AB, and draw two arcs through M.