Question

△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).

Which reflection results in the transformation of △KLM ​ ​ ​to​​ ​ △K′L′M′ ​​​?

A.reflection across the x-axis

B.reflection across the y-axis

C.reflection across y = x

D.reflection across y=−x

Answer 1

I believe tne answer might be c

Answer 2

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′.