Question

what is the third step of the construction?
a. add another ray starting from point p (or s) to the ray in the first step. make sure to use an arc created with the same compass setting.
b. with the same compass setting, put the compass point on one of the endpoints of $overline{ps}$ and draw an arc.
c. add another ray starting from point t (or r) to the ray in the first step. make sure to use an arc created with the same compass setting.
d. with the same compass setting, put the compass point on the endpoint of the construction in the first step and draw an arc that intersects the ray.

Explanation:

Without knowing the first - step details of the construction, we assume a common geometric construction process. In geometric constructions, after creating a ray in the first step, a common next - step sequence is to use the compass to create arcs for further construction. Option D describes a logical third - step in a geometric construction where we use the compass on the endpoint of the first - step ray to create an intersecting arc.

Answer:

D. With the same compass setting, put the compass point on the endpoint of the construction in the first step and draw an arc that intersects the ray.