Question

the trapezoid klmn is shown in the graph. the trapezoid is reflected about the line y = x. what is the location of the point k on the transformed trapezoid? (6,3) (3,6) (-3,-6) (-6,3)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected about the line $y = x$, the coordinates are swapped, becoming $(y,x)$.

Step2: Identify original coordinates of K

From the graph, assume the original coordinates of point $K$ are $(3, - 6)$.

Step3: Apply reflection rule

Swapping the $x$ and $y$ - coordinates, we get $(-6,3)$.

Answer:

$(-6,3)$