Question

Given a segment with endpoints A and B, what figure can you contrust 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. (it has a line on top) Label the point of intersection of AB (it has a line on top too) and XY (has a line on top) as M, the midpoint of AB. (line on top)

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

Answer 1

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.

Answer 2

This is a perpendicular bisector