Respuesta :

Yes!
A translation is just moving the shape, and isn't changing the size in any way, so it'll still have the same area. Same goes for a reflection, the size or shape isn't being changed at all, just the location, so it still has the same area.

Rectangle ABCD and rectangle A'B'C'D' do have the same area.

The calculation of the area of ​​a rectangle is done using the value of the height and the length of the figure, in such a way that:

                                                    [tex]A = L \times H[/tex]

When the rectangle is translated, the height and length remain the same, only moving the shape, which does not affect the value of the area.

The same happen when the rectangle is reflected, just changing the location of the shape.

So, the area after a rectangle (A'B'C'D') is translated and then reflected is the same as the area before (ABCD).

Learn more about area in: brainly.com/question/9655204