Answer:
the answer:
the general property of translation is as follow:
A translation preserves the length and slope of a line. A translation by a vector of the form V(h, k)shifts the x-coordinate of each point by h units, and the y-coordinate of each point by k units.
so if the triangle ABC is translated to image A′B′C′
we get the new coordinates of B'
A(5, 1)--------A'(5+x, 1+y), so the vector of translation is V(x, y)
and we know that 6=5+x and -2=1+y which implies (x, y)=(1,-3)
to find the coordinates of B
B(a, b)----------B'(a+1, b-3)= (-1,0)
therefore, a+1=-1, and b-3=0 finally B(-2, 3)
(is this correct?)
