Question

7. The 3 circles in the diagram have centers A, B, and C. Explain why line segments AB, CA, and CB are congruent, and classify the triangle. *

Answer 1

Line segment AB, CA, and CB are congruent because they are all the radius of the 3 circles which have the same diameter.

so, therefore, AB= CA = CB = radius of the three circles with the same diameter

Triangle ABC is an equilateral triangle since all the sides are congruent or equal.