Question

Select all the correct answers.

Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.



To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.

Which figures could Brian be constructing?

equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C

Answer 1

Answer: equilateral triangle ANP inscribed in circle C, regular hexagon AMNBPQ inscribed in circle C

Explanation:

By looking through our choices, we can eliminate which choices could be wrong and which choices could be right.

Δ MNQ does form a triangle, however, it DOES NOT form a equilateral triangle.

Δ ANP does form a triangle and it is ALSO an equilateral triangle.

Hexagon AMNBPQ does form a hexagon and it is ALSO a regular polygon as we can see all the sides and angles within the polygon are congruent to one another.

MNPQ does form a quadrilateral, however, it DOES NOT form a square. It is instead a rectangle.

ANBQ does form a quadrilateral, however, it DOES NOT form a square. It is instead a rectangle.