isisg0447 isisg0447
  • 24-06-2021
  • Mathematics
contestada

What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 29-06-2021

Answer:

The image point is (-1,-2)

Step-by-step explanation:

Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)

Mathematically;

If we reflect a point (x,y) over the line y = -x

we have the coordinate change to (-y,-x)

so, (4,6) becomes (-6,-4)

Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate

we have this as;

(-6 + 5, 2-4) = (-1,-2)

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