Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?

B. and D.

Step-by-step explanation:

We have that an equilateral triangle is a regular polygon, that is to say, it has its three equal sides.In traditional Euclidean geometry, the equilateral triangles are also equiangular, that is, the three interior angles are equal and measure 60 °. By symmetry of the equilateral triangle, we have to:

Any two equilateral triangles are similarly congruent, therefore:

B. Two segments that are both congruent to a third segment must be congruent to each other

 and D. All of the radio of a circle are congruent, are the correct answers.