1. The problem asks whether a right triangle with two congruent legs is always a 45-45-90 triangle. 2. A right triangle has one 90-degree angle. 3. If the two legs (the sides adjacent to the right angle) are congruent, then the two angles opposite those legs must be equal. 4. Since the sum of angles in any triangle is 180 degrees, and one angle is 90 degrees, the other two angles must sum to 90 degrees. 5. If those two angles are equal, each must be $\frac{90}{2} = 45$ degrees. 6. Therefore, a right triangle with two congruent legs has angles 45°, 45°, and 90°, which defines a 45-45-90 triangle. 7. Hence, the statement is True.