Question

what is the next step for the construction?
x y
a. step 1: draw a segment. name it xy.
b. step 2: place the compass at x. set the compass to more than half the segment.
c. step 3: draw an arc above and below xy.
d. step 4: without changing the setting, place the compass point at y. draw arcs above and below xy. name the intersections p and q.

Explanation:

Step1: Analyze construction steps

The segment XY is already drawn.

Step2: Determine next step

The next logical step after drawing the segment is to place the compass at one - end point (X) and set it to more than half the segment length.

Answer:

b. Step 2: Place the compass at X. Set the compass to more than half the segment.