Answer:
If we have a figure translated, all the points are translated by the same amount. So, to find the translation, we can look at a single vertex of one of the figures and see how many units it moved in each axis.
a) Let's look at points B and B'.
B = (-3, 4)
B' = (-1, 3)
The translation will be given by:
B' - B
(-1, 3) - (-3, 4) = (-1 -(-3), 3 - 4) = (1 + 3, -1) = (2, - 1)
Then, each point (x, y) in the original figure, is translated to (x + 2, y - 1)
Then the correct point is C.
b) Let's look at points B and B' again.
We can see that:
B = (1, 6)
B' = (6, -2)
Again, the translation is given by:
B' - B
(6, -2) - (1, 6) = (6 - 1, -2 - 6) = (5, - 8)
Then, any point (x, y) in the original figure, is translated to (x + 5, y - 8)
Then the correct option is C