Answer: The correct option is
(A) (1, 0), (3, 1) and (4, -1).
Step-by-step explanation: Given that Regina drew a triangle with vertices at (1 , 2), (3 , 3) and (4 , 1). She slides the triangle 2 units down to create an image.
We are to find the vertices of the image.
We know that
if a point (x, y) is translate 2 units down, its co-ordinates changes as follows :
Therefore, the vertices of the image of the given triangle are
(1, 2) ⇒ (1, 2-2) = (1, 0),
(3, 3) ⇒ (3, 3-2) = (3, 1)
and
(4, 1) ⇒ (4, 1-2) = (4, -1).
Thus, the required co-ordinates of the image are (1, 0), (3, 1) and (4, -1).
Option (A) is CORRECT.