The problem states that ∠A ≅ ∠C, and we are to determine which conclusion is true based on this information.

Since ∠A ≅ ∠C, this indicates that triangle ABC is isosceles with the two equal angles being at A and C. In an isosceles triangle, if two angles are congruent, the sides opposite those angles are also congruent.

Here, the side opposite ∠A is segment BC, and the side opposite ∠C is segment AB. Therefore, if ∠A ≅ ∠C, it must follow that:

AB ≅ BC.

Thus, the correct answer is:

• AB ≅ BC.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. What properties define an isosceles triangle?
2. How do the angles in an isosceles triangle relate to its sides?
3. What is the difference between equilateral and isosceles triangles?
4. How can you use the congruence of angles to find unknown side lengths in a triangle?
5. How does the triangle inequality theorem relate to isosceles triangles?

Tip: Remember, in any isosceles triangle, angles opposite equal sides are always equal!