Answer:
the statements that must be true are;
c. segments AC and CD have the same length
d. the triangle BCE is isosceles.
Step-by-step explanation:
Given the diagram in the attached image;
Point C is the center of the two circles.
The lines BC and CE are congruent and equal to the radius of the bigger circle.
So, the triangle BCE is an isosceles triangle.
Also, the line AC and CD are congruent and equal to the radius of the smaller circle.
So, line segments AC and CD have the same length
and the triangle ACD is an isosceles triangle.
Therefore, the statements that must be true are;
c. segments AC and CD have the same length
d. the triangle BCE is isosceles.