Answer:
2. y-axis reflection then translation
Step-by-step explanation:
we start with triangle abc on the top left and end with triangle def on the bottom left. let's go though and eliminate each answer.
1. says a x-axis reflection and a translation.
if we do an x-axis reflection then the triangle will flip straight down. it can't be transformed, or moved around, to look like the end triangle.
2. y-axis reflection then translation
this will work because it will flip to the right and the transformation can slide it down to the end position of triangle def.
3. rotation of 180 degrees then translation
the rotation will end with the triangle not in the right position
4. rotation 90 degrees counterclockwise
the rotation will end with the triangle not in the right position
