To determine which triangle on the coordinate grid is a translation of triangle F, we need to understand what a translation means in terms of coordinates.
A translation moves a shape a certain distance in a particular direction without altering its size, shape, or orientation. This means that every point of triangle F will move the same distance in the same direction to form triangle G, but it will not involve rotation or reflection.
Based on the information provided:
- Triangle H and triangle J are the result of rotations of triangle F, which means they are not translations.
- Triangle G is described as being shifted up and to the left, which indicates that it is moved without changing orientation or shape.
Therefore, triangle G is the one that is a translation of triangle F.