The correct reason to prove that AB and BC are congruent is:
AB and BC are both radii of the circle B.
The correct answer is an option (C)
What is radius of the circle?
"It is the distance from the center of the circle to any point on it's circumference. "
What is equilateral triangle?
"It is a triangle whose all sides are equal in length angle all angles measure 60 degrees."
For given question,
We have been given the straightedge and compass construction of the equilateral triangle.
From figure we can observe that AB and BC are radii of the circle B.
So, AB and BC are congruent.
Therefore, the correct reason to prove that AB and BC are congruent is:
AB and BC are both radii of the circle B.
The correct answer is an option (C)
Learn more about the equilateral triangle here:
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