Solution:
we are given that
△KLM is reflected to form △K′L′M′ .
The vertices of △KLM are
K (2,4) , L (1,2) , and M (4,1) .
The vertices of △K′L′M′ are
K′ (4,2), L′ (2,1), and M′ (1,4).
we have been asked to find -Which reflection results in the transformation of △KLM to △K′L′M′ ?
If we closely observe the coordinated of the vertices of the given triangle and the transformation of the given triangle. Then we see that the position of the x and y-coordinates of the vertices has interchanged.
As we know the reflection of the point (x,y) across the line y=x results in (y,x).
Hence
Reflection across y = x results in the transformation of △KLM to △K′L′M′.
