Question

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Explanation:

Identify the geometric construction steps shown in the diagram

The diagram shows a circle with a horizontal diameter. Two arcs are drawn with their centers at the endpoints of the diameter, using a radius equal to the radius of the circle. These arcs intersect the circle at four distinct points. Along with the two endpoints of the diameter, these intersection points divide the circle's circumference into six equal parts.

Determine the resulting inscribed shape

Connecting the six equally spaced points on the circle (the two diameter endpoints and the four arc intersection points) forms a regular hexagon. Therefore, this construction process is used to construct a regular hexagon inscribed in a circle.

Answer:

• (A) a regular hexagon inscribed in a circle (Correct answer)
• (B) an equilateral triangle inscribed in a circle
• (C) a square inscribed in a circle
• (D) a similar circle inscribed in a circle