Question

In the straightedge and compass construction of the equilateral triangle below, how do you know that AB ≈ AC?

Answer 1

C

Explanation:

C: AB is the radius of both circles.

Answer 2

C. line segment AB is the radius of both circles.

Explanation:

If point A is the center of the first circle and point B is the center of the second circle (in the figure), therefore Line segment AB is the radius of both circles and we write.

Line segment AB = line segment AC (radius of first circle ) and

line segment AB = line segment BC (radius of second circle).

Hence line segment AB is the radius of both circle is the correct option for AB =AC.