Given a segment with endpoints A and B, what figure can you construct using the steps below?
Step 1: Put the compass point on A and draw a long arc. Be sure the opening is greater than 1/2 AB.

Step 2: With the compass on the same setting, put the compass point on B and draw another long arc. Label the points where the two arcs meet as X and Y.

Step 3: Draw line XY. Label the point of intersection of segment AB and line XY as M, the midpoint of segment AB.

A) a perpendicular bisector

B) a congruent segment

C) an angle bisector

D) a congruent angle

( I don't have a compass or a protractor at the moment, and this lesson we needed one to answer the questions so therefore, I can't answer the question at the moment. Thank you to whoever helps me in any way. God bless)

Respuesta :

W0lf93
A is the correct answer. By drawing two arcs from the two end points and drawing a line down the middle of the arc, you are creating a line that is at right angles with line AB. It is also in the midpoint. This makes it a perpendicular bisector.