Respuesta :

Answer:

After the reflection over the line y=x, the image points are:

  • A'(-1, -2)  
  • B'(3, -1)  
  • C'(2, -3)

Step-by-step explanation:

We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.

i.e.

  • The reflection of the point (x,y) across  the line y = x is the point (y, x).

Given

  • A(-2, -1)
  • B(-1, 3)
  • C(-3, 2)

so after the points reflected cross the line y = x

P(x, y)                 →          P'(y, x)

A(-2, -1)               →          A'(-1, -2)    

B(-1, 3)                →          B'(3, -1)  

C(-3, 2)               →          C'(2, -3)

Therefore, after the reflection over the line y=x, the image points are:

  • A'(-1, -2)  
  • B'(3, -1)  
  • C'(2, -3)