Question

А.Translate the triangle.Then enter the new coordinates.A'([?], []).(4,-1) B'([ ], [])C'([],[ ](1,-3)(5,-4)<-2,3)B.

Answer 1

Given the triangle shown in the picture, you know its vertices:

`A\mleft(4,-1\mright);B\mleft(5,-4\mright);C\mleft(1,-3\mright)`

You have the following translation vector:

`\langle-2,3\rangle`

Therefore, you can identify that to find the Image (the figure translated) of the Pre-Image (the original figure) ABC, you have to translate each vertex 2 units left and 3 units up. Then, you get:

`\begin{gathered} A^(\prime)(4-2,-1+3)=A^(\prime)(2,2) \\ \\ B^(\prime)(5-2,-4+3)=B^(\prime)(3,-1) \\ \\ C^(\prime)(1-2,-3+3)=C^(\prime)(-1,0) \end{gathered}`

Then, the answer is: