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.

"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 Link

JeanaShupp JeanaShupp · Answer 2 · 2018-10-26T06:22:23-04:00

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←→".

Step-by-step 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.