Respuesta :

Answer: Choice A

Translation; figures are congruent

Translating, aka shifting or sliding, a figure around will keep the same shape and size. This is why the two triangles are congruent. They are clones of each other. Think of it like a car moving around. The car won't change as it moves around.

A reflection has not been applied because notice the orientation from M to N to O is counter-clockwise. And so is the orientation from M' to N' to O'. A reflection will always flip orientation. Also, we can determine it's a translation by noticing each point has moved 8 units to the right.

The translation rule applied here is [tex](\text{x}, \text{y}) \to (\text{x}+8, \text{y})[/tex] meaning we add 8 to each x coordinate but keep the y coordinate the same.

Side note: if two figures are congruent, then they are automatically similar, but not vice versa.