Question

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to be most efficient, what should your next step be?
draw an arc centered at d, with a radius equal to the radius of the circle, that starts and ends at points on the circle.
draw an arc centered at a, with a radius equal to the diameter of the circle, that starts and ends at points on the circle.
draw another diameter perpendicular to $overline{ad}$.

Explanation:

To perform geometric - related tasks like constructing regular polygons in a circle, drawing another diameter perpendicular to the existing one helps in creating symmetry and can be a key step for further constructions. For example, in constructing a square inscribed in a circle, having two perpendicular diameters is a fundamental first - step.

Answer:

Draw another diameter perpendicular to $\overline{AD}$.