Answer:
a. Translation
b. M'(-11, 0)
N'(-6, 2)
O'(-2, 3)
Step-by-step explanation:
<-6, -2> indicates that the triangle MNO will be translated 6 units left and 2 units down, so <-6, -2> is a translation.
On the other hand, to know the new vertices, we need to apply the following rule:
(x, y) ----> (x - 6, y - 2)
So, the vertices of the image after the transformation are:
M(-5, 2) ----> (-5 - 6, 2 - 2) = M'(-11, 0)
N(0, 4) ----> (0 - 6, 4 - 2) = N'(-6, 2)
O(4, 5) ----> (4 -6, 5 - 2) = O'(-2, 3)
Therefore, the answers are:
a. Translation
b. M'(-11, 0)
N'(-6, 2)
O'(-2, 3)