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: Identify original coordinates of K

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

Step2: Apply reflection rule

When a point (x,y) is reflected about the line y = x, the new - coordinates are (y,x).
For point K(-3,-6), after reflection about the line y = x, the x - coordinate of the new point is the y - coordinate of the original point and the y - coordinate of the new point is the x - coordinate of the original point. So the new coordinates are (-6,-3).

Answer:

(-6,-3)