Question

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?

Answer 1

Answer: $A'(-1, 0)$

Step-by-step explanation:

By definition, a Translation is a transformation that moves an object a fixed distance. In Transalation the size, shape and orientation of the object don't change.

The translation of a point $P(x,y)$ "a" units right and "b" units up is:

$P'(x+a,y+b)$

In this case we know that the coordinates of A of the Triangle ABC is A(-2, -3) and the Triangle ABC is translated 1 unit right and 3 units up. Therefore, the the coordinates of A' are:

$A'(-2+1, -3+3)$

$A'(-1, 0)$