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 jk. then, use a straightedge to draw the four chords that make up the square: jl, lk, km, and mj. which instruction is pia missing? a. draw any chord on a circle and label it jk. b. draw any diameter on a circle and label it 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 jk on circle j.

Explanation:

Step1: Recall square - in - circle construction

To inscribe a square in a circle, we first need a diameter. The steps usually start with drawing a diameter of the circle.

Step2: Analyze given steps

The given steps start with finding a chord LM as the perpendicular bisector of a chord JK. But we need to start with a diameter. Drawing a diameter first is a fundamental step for in - circle square construction.

Answer:

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