Question

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?
ΔDEF ≅ ΔSUR
ΔDEF ≅ ΔSRU
ΔDEF ≅ ΔRSU
ΔDEF ≅ ΔRUS

Answer 1

The answer is:

B) ΔDEF ≅ ΔSRU

Hope it helps!

Answer 2

The point D transformed into S
The point E transformed into R
The point F transformed into U

The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions).  Then, the resulting triangle is congruent to the original triangle.

Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU