Question

determine a series of transformations that would map figure h onto figure j.
a
a reflection, followed by a

Explanation:

Step1: Identify Rotation

First, we can rotate Figure H about the common vertex (the intersection point of the two figures) by 90 degrees (or another appropriate angle) to align the sides. Let's assume a rotation that makes the orientation of Figure H closer to Figure J. For example, a clockwise rotation of 90 degrees about the vertex (let's say the vertex is at ( - 2,1) or similar, we can check the coordinates).

Step2: Identify Translation

After rotation, we need to translate (slide) the figure so that it maps exactly onto Figure J. We can find the horizontal and vertical distances between the corresponding points of the rotated Figure H and Figure J. For example, if after rotation, a point of Figure H is at (x1,y1) and the corresponding point of Figure J is at (x2,y2), the translation vector would be (x2 - x1, y2 - y1).

A possible sequence: First, rotate Figure H 90 degrees clockwise about the common vertex. Then, translate the rotated figure horizontally and vertically to match the position of Figure J.

Answer:

One possible sequence: Rotate Figure H 90° clockwise about their common vertex, then translate the rotated figure to match Figure J's position. (The exact translation depends on coordinate differences, but rotation followed by translation works.)