Question

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 <-> XY. Label the point intersection of - AB and <-> as M, the midpoint od -AB

a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle

Answer 1

Answer: Option (A) is the right answer .We can construct a perpendicular bisector usind the given steps.

Explanation:

Given a segment with endpoints A and B.

By using the construction step we will draw the following figure which represents a perpendicular bisector XY of line segment AB.

A perpendicular bisector of a given line segment is a line segment perpendicular to the given line segment and passing through the midpoint of the given line segment.

Answer 2

I believe the correct answer from the choices listed above is option A. Given a segment with endpoints A and B and the steps given above, the figure that you can construct would be a perpendicular bisector. The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.