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:
https://brainly.com/question/14295242