Respuesta :

Answer:

F(8,1) G(7,5) H(3,2)

Step-by-step explanation:

y=x

you flip the coordinates

The transformation of a shape involves changing the position and/or size of the original shape to another. The coordinates of the new triangle is: F' (8,1) G' (7,5) and H' (3,2)

Given that:

[tex]F = (1,8)[/tex]

[tex]G = (5,7)[/tex]

[tex]H = (2,3)[/tex]

To reflect over [tex]y = x[/tex] means that we perform the reflection rule: [tex]y = x[/tex] over the sides of  [tex]\triangle FGH[/tex]

Reflection rule over [tex]y = x[/tex] mean:

[tex](x,y) \to (y,x)[/tex]

So, we have:

[tex](1,8) \to (8,1)[/tex]

[tex](5,7) \to (7,5)[/tex]

[tex](2,3) \to (3,2)[/tex]

Hence, the coordinates of the new triangle is: F' (8,1) G' (7,5) and H' (3,2)

Read more about transformation at:

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