Question

Which of following are reasons used in this proof that the equilateral triangle construction actually construct an equilateral triangle? check all that apply

A) all rights angle are equal
B) all of the radii of a circle are congruent
C) two segments that are both congruent to a third segment must be congruent to each other
D) any line segment can be extended indefinitely

Answer 1

I think that C, B are the answers. There can be more

Answer 2

(C) and (B)

Explanation:

In order to construct an equilateral triangle, the two sides if are congruent, then they must be congruent to the third side because of the definition of equilateral triangle.

Therefore, two segments that are both congruent to a third segment must be congruent to each other.

Also, in the construction of an equilateral triangle, all the radii of a circle are congruent.