Question

select the correct answer from each drop - down menu.
zahid started the construction of an equilateral triangle inscribed in a circle. which segments need to be drawn to create the triangle?
to finish his construction, zahid needs to draw segments df, drop - down 1, and drop - down 2. the options for the second drop - down are od, db, ec, be.

Explanation:

Step1: Identify circle division

The circle is divided into 6 equal arcs (marked points A,B,C,D,E,F), each arc measures $\frac{360^\circ}{6}=60^\circ$.

Step2: Select equilateral triangle vertices

An inscribed equilateral triangle uses every other point. Points D, B, E are spaced 2 arcs apart (each gap $120^\circ$, forming 60° internal angles for the triangle).

Step3: Match required segments

Connecting D-F, F-B (incorrect, BE is needed), B-E, E-C: the missing segments to complete $\triangle DBE$ are BE and EC (or alternatively, the valid triangle can also be formed by connecting D, B, E with segments DF, BE, EC to close the figure correctly as an inscribed equilateral triangle).

Answer:

Segments DF, BE, and EC