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)?

Respuesta :

Answer: 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.

Answer:

What line of reflection maps point K to point K' at (–5, 2)?

✔ y-axis

What line of reflection maps point L to point L' at (–2, 3)?

✔ y = -x