Problem

Which complete response correctly evaluates the displayed inscribed-square construction?

A circle contains two diameters through its center, but the diameters meet at a non-90° angle.

Answer choices

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invalid action = requiring a 90° angle; correction = use any angle through O; invariant = opposite central angles are equal; consequence = square

invalid action = drawing nonperpendicular diameters; correction = construct the second diameter perpendicular to the first through O; invariant = four central angles are each 90°; consequence = otherwise the four side chords are not all guaranteed equal

invalid action = making both segments diameters; correction = make one a chord not through O; invariant = four central angles are 90°; consequence = square

invalid action = failing to step radius R six times; correction = mark six radius-length chords; invariant = four central angles are 60°; consequence = square

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Which complete response correctly evaluates the displayed inscribed-square construction?

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