Question

select the correct answer.
in her notebook, pia wrote these steps to construct a square inscribed in a circle.
use a compass and a straightedge to find chord ( lm ), which is the perpendicular bisector of ( overline{jk} ). then, use a straightedge to draw the four chords that make up the square ( overline{jl} ), ( overline{lk} ), ( overline{km} ), and ( overline{mj} ).
which instruction is pia missing?

a. draw any chord on a circle and label it ( overline{jk} ).
b. draw any diameter on a circle and label it ( overline{jk} ).
c. construct a secant passing through points ( j ) and ( k ) on a circle.
d. construct a tangent passing through point ( k ) on circle ( j ).
e. construct radius ( overline{jk} ) on circle ( j ).

Explanation:

To inscribe a square in a circle, the first step requires a diameter (not just any chord, secant, tangent, or radius) because the perpendicular bisector of a diameter of a circle will be another perpendicular diameter, and connecting their endpoints forms a square. Pia's steps start with finding the perpendicular bisector of $\overline{JK}$, so $\overline{JK}$ must first be established as a diameter.

Answer:

B. Draw any diameter on a circle and label it $\overline{JK}$.