Answer:
The resulting image is neither congruent or similar.
Step-by-step explanation:
Congruent triangles are the same size and shape. Because of the operations conducted on the coordinates of the triangle, it can be easily seen that the size changes. If one were to investigate further, one would see that the shape changes as well, however we only need to know that the size changes. Therefore, the triangles cannot be congruent.
Because the operations on the [tex]x[/tex] and [tex]y[/tex] of each point are not the same, the triangle cannot be similar. When adding to the coordinates of the first point, multiplying the coordinates of the second point, and negating the [tex]x[/tex]-value of the third point the result cannot be similar. This, as mentioned earlier, is the further investigation that reveals that the triangles are not the same shape and therefore not similar.
