Question

which of the following graphs below correctly shows triangle abc being reflected across the line y = x?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the new point is $(y,x)$.

Step2: Analyze each graph

Check the orientation and position of the reflected triangle with respect to the original triangle across $y=x$.

Answer:

(Without seeing all the options, we can't give a specific answer. But the correct graph will have the vertices of the triangle with coordinates swapped compared to the original triangle's vertices. For example, if a vertex of the original triangle is $(2,3)$, its corresponding vertex on the reflected triangle will be $(3,2)$.)