Final answer:
The transformations on triangle jkl involve a reflection over the y-axis and a 90-degree clockwise rotation. After these steps, the final position of the triangle, with respect to its vertices, is option 2) j"l"k".
Step-by-step explanation:
The question involves understanding the result of transformations applied to triangle JKLin a coordinate plane. Initially, triangle jkl is reflected over the y-axis which would result in an image (j'k'l') that is the mirror image across the y-axis. After the reflection, the triangle is rotated 90 degrees clockwise about the origin to obtain the final position of the triangle j"k"l". Due to the 90-degree rotation, each point's previous y-coordinate becomes its new x-coordinate, and the previous x-coordinate becomes the negative of its new y-coordinate.
Given that reflections and rotations are performed in sequence, it is important to understand that after a reflection over the y-axis, the points of triangle j'k'l' will be located at mirrored x-coordinates while maintaining their y-coordinates. A subsequent 90-degree clockwise rotation around the origin will then swap each point's x and y-coordinates, inverting the sign of the former x-coordinate.
If we start by labeling the vertices of the original triangle JKLin their correctly ordered sequence, due to the transformations, the final triangle j"k"l" will still have its vertices in a corresponding sequence, meaning the correct order of vertices after these transformations should be j"l"k". Therefore, the correct response among the provided options is option 2) j"l"k".