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.

Aa perpendicular bisector

Ba congruent segment

Can angle bisector

Da 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)

Verified Answer :

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.