Respuesta :

Answer:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Step-by-step explanation:

Transformations

The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.

There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.

Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.

Testing the rest of the points we get the same result, thus the transformations are:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.