The image of A(-1,3) under the translation T 2,1 1) (1,4)
2) (-3,2)
3) (-2,3)
4) (0,5)

1) (1,4)

Step-by-step explanation:

Translation is a type of transformation that moves every point in an object the same distance in the same direction.

The object is A (-1,3)

The translation is T(2,1)

Applying the translation will be;

A (-1,3) A' { -1 +2 , 3+1}  = { 1 ,4}

A' = (1,4)

a^2 + b^2 = c^2  - Pythagorean Theorem

6^2 + 10^2 = 15^2

36 + 100 = 225

136 doesn't equal 225

So, no, the sides lengths don't make a triangle.