100 Points and I WILL mark brainliest for first correct answer. Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A (-2, -4), B (0, 0), and C (1, -3), find the coordinates of the new triangle A’B’C’. You must show all your work.

(a) Co-ordinate rule is  and  

(b) Co-ordinates of B' and C' are  and  respectively.

Step-by-step explanation:

(a)

Here, the co-ordinates of A are translated to A'.

For the co-ordinates A and A',   and  

So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.

Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:

and .

(b)

Using the co-ordinate rule, we can find the co-ordinates of B' and C'.

For B,  and .

So,  of B' is  

And,  of B' is .

Therefore, co-ordinates of B' are .

For C,  and .

So,  of C' is  

And,  of C' is .

Therefore, co-ordinates of C' are .

Step-by-step explanation:

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