Final answer:
The correct statement describing the properties of Triangle JKL after both reflection and dilation is that corresponding angles are congruent after both the dilation and the reflection, while the corresponding sides are not congruent after the dilation.
Step-by-step explanation:
The question relates to a series of geometric transformations applied to Triangle JKL. Specifically, Triangle JKL is reflected over the y-axis and then dilated by a scale factor of 2 centered at the origin. When analyzing the impact of these transformations on the properties of the original and transformed triangles, we need to consider the effects of each transformation separately. A reflection over the y-axis preserves the size and shape of the triangle but alters its orientation; this transformation maintains congruent angles but flips the figure to the opposite side of the y-axis. On the other hand, a dilation with a scale factor of 2 centered at the origin will maintain the angles' measures (angles remain congruent after dilation), but the size of the sides will change, making the sides of the dilated triangle twice as long as those of the original triangle. Therefore, the answer is b. Corresponding angles are congruent after both the dilation and the reflection, whereas the sides are only congruent to their pre-reflected lengths and not to the dilated lengths.