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 menu with options ef, fb, fo, ab and drop - down menu with option ec.

Explanation:

Step1: Identify equal arc points

The circle has 6 equally spaced points (A, B, C, D, E, F), so each arc is $60^\circ$.

Step2: Pick every other point

For an equilateral triangle, connect points with one arc gap: D to F (skips E), F to B (skips A), B to D (skips C), or equivalently D-F, F-B, B-D; or the valid combination here is DF, AB, EC which form the inscribed equilateral triangle by connecting non-adjacent spaced points.

Step3: Match dropdown options

From the dropdown, the correct second segment is AB, and the third is EC, forming the triangle with DF.

Answer:

To finish his construction, Zahid needs to draw segments DF, AB, and EC