The coordinates of B is (-2, 3).
In geometry, translation is the movement of a point or shape from one position to another.
Here, The translation from ΔABC to ΔA'B'C' is (x, y) → (x + a, y + b)
Now, given coordinate
A ≡ (5, 1) ⇒ A' ≡ (6, -2)
A' ≡ (1+5, 1 - 3)
On comparing this coordinate with translation coordinate
(x + a, y + b), we get
a = 1 and b = -3
Now translation coordinates is (x + 1, y - 3),
Now, Another coordinate;
B' ≡ (-1, 0) and the coordinate of B ≡ (x, y)
B' ≡ (-2+1, 3-3)
On comparing this coordinate with translation coordinate (x + 1, y - 3), we get
x = -2 and y = 3
Thus, the coordinates of B is (-2, 3).
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