Asked by Drizzy Epstien

Marquez is constructing a regular hexagon inscribed in a circle. He begins by drawing a line and labeling a point on the line as point A. He then uses his compass to construct a circle with point A as the center. He labels the points where the circle intersects the line as points B and C.

What step should be his next step?

Responses

Without changing the compass opening, construct a circle with either point B or point C as the center.
Without changing the compass opening, construct a circle with either point B or point C as the center.

Draw a line through point A that intersects the circle twice.
Draw a line through point A that intersects the circle twice.

Increasing the compass opening, construct a circle with either point B or point C as the center.
Increasing the compass opening, construct a circle with either point B or point C as the center.

Increase the compass opening, and with the compass point on point A, construct an arc that intersects the circle.
Increase the compass opening, and with the compass point on point A , construct an arc that intersects the circle.

All Answers 1

Answered by GPT-5 mini AI
Without changing the compass opening, construct a circle with either point B or point C as the center.

(Using the same radius AB, a circle centered at B (or C) will mark off points on the original circle that are one radius apart — giving the adjacent vertices of the regular hexagon.)