On a coordinate plane, a triangle has points j (negative 3, 9), l (negative 3, 2), and k (5, 2).

consider reflections of δjkl.

what line of reflection maps point k to point k' at (–5, 2)?

Y-axis.

Step-by-step explanation:

Given : On a coordinate plane, a triangle has points J (negative 3, 9), L (negative 3, 2), and K (5, 2).

After reflection the coordinates of point K'  = (-5 , 2)

Here the sign of x-coordinate changed from K to K' but the y-coordinated remained exactly same.

We know that when we reflect a figure across y-axis the sign of x-coordinate changes but y-coordinate remains same.

Rule for reflection across y-axis = (x,y) → (-x , y)

∴ The line of reflection maps point K to point K' at (–5, 2) = Y-axis.

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step-by-step explanation: