contestada

Point A(-5,8) is reflected across the line y=x what are the coordinates of A? Please show work/explain

Respuesta :

The coordinates of A' are (8 , -5)

Step-by-step explanation:

Let us revise the reflection

  • If point (x , y) reflected across the x-axis, then its image is (x , -y)
  • If point (x , y) reflected across the y-axis, then its image is (-x , y)
  • If point (x , y) reflected across the line y = x, then its image is (y , x)
  • If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point A (-5 , 8) is reflected across the line y = x

∵ If point (x , y) reflected across the line y = x  , then its image is (y , x)

∵ x = -5 and y = 8

- Switch x and y

∴ The image of point A is A' = (8 , -5)

The coordinates of A' are (8 , -5)

Learn more:

You can learn more about reflection in brainly.com/question/5017530

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