The transformation that can map ΔPQR onto ΔSTU is; Option D; reflection, then translation.
From the triangles given, we want to map ΔPQR onto ΔSTU.
In mathematics, a transformation is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.
We can see that ΔPQR is in a position that is more or less a mirror copy of ΔSTU. Now, when an object is mirrored it means it has undergone reflection which is like flipping an object over a line and not changing the size or shape.
After reflection again of ΔPQR, since we want to map it to ΔSTU, we must make it undergo translation so that it can be fully mapped unto ΔSTU.
Hence, the transformation that can map ΔPQR onto ΔSTU is reflection, then translation.
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