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.

Answer 1

"Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB" is the first step in the construction of a line perpendicular to AB←→ and passing through an external point M. The correct option among all the options that are given in the question is the first option or option "A".

Answer 2

Answer: A is the correct option "Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB←→".

Explanation:

In the construction of a line perpendicular to AB←→ and passing through an external point M the first step must be"Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB←→". After that you can draw arcs from intersection points (keeping the compass width same as before) to the opposite side of M, name it as N than use straightedge to draw line passes through M and n that would be perpendicular line to AB.