Final answer:
The transformed angle remains an angle after reflections, rotations, or translations, which means these transformations preserve angle measures. The correct answer is b) The transformed angle remains an angle, demonstrating the property of congruence in geometric figures.
Step-by-step explanation:
In the context of geometric transformations such as reflections, rotations, or translations, these operations preserve the nature of geometric figures, including angles. The relationship between the original angle and the transformed angle after a sequence of these transformations is that the transformed angle remains an angle. Hence, the correct answer to the question is b) The transformed angle remains an angle.
It is important to understand that these transformations do not alter the measures of angles or the distances between points; they merely change the position or orientation of the figure in the plane. This is a fundamental property in geometry known as congruence, meaning the original figure and the transformed figure have the same size and shape. So, whether the angle is reflected over a line, rotated around a point, or translated to a new location, it is still an angle with the same measure as the original one.