Given the triangle:
EFG
After a series of transofrmation, the triangle on the right transforms to the triangle on the left.
Let's complete the given statement.
Here, we can see the transformation that occured here is a rotation.
Rotation do not change the size or the shape of an object.
Since the shape and size of both triangles remain the same, we can say both triangles are congruent.
Also, the areas of both triangles will be the same.
The perimeters will also be the same.
Thus, we have the statement:
The triangles are congruent, so their areas are the same, and their perimeters are the same.
ANSWER:
The triangles are congruent, so their areas are the same, and their perimeters are the same.