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Answer:

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Step-by-step explanation:

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The required vertices are [tex]A'(-3,3), B'(4,-1), C'(-2,0)[/tex].

Important information:

  • The vertices of a triangle A(0,7), B(7,3),and C(1,4).
  • Rule of translation is [tex](x,y)\to (x-3,y-4)[/tex].

We need to find the vertices of triangle A'B'C'.

Translation:

Using the given rule, we get

[tex]A(0,7)\to A'(0-3,7-4)[/tex]

[tex]A(0,7)\to A'(-3,3)[/tex]

[tex]B(7,3)\to B'(7-3,3-4)[/tex]

[tex]B(7,3)\to B'(4,-1)[/tex]

[tex]C(1,4)\to C'(1-3,4-4)[/tex]

[tex]C(1,4)\to C'(-2,0)[/tex]

Thus, the required vertices are [tex]A'(-3,3), B'(4,-1), C'(-2,0)[/tex].

Find out more about 'Translation' here:

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