Question

triangle abc has been translated to the right two units. the (x,y) coordinates of each point have been labeled. what do you notice about the coordinates after the translation?

Explanation:

When a figure is translated horizontally (right or left), the y - coordinates of the vertices remain unchanged, and the x - coordinates change. In a translation to the right by 2 units, for each point \((x,y)\) of the original triangle, the new coordinates after translation will be \((x + 2,y)\). So we can notice that the y - coordinate of each vertex of the triangle remains the same, and the x - coordinate of each vertex increases by 2.

Answer:

After translating triangle \(ABC\) 2 units to the right, the \(y\) - coordinates of the vertices remain unchanged, and the \(x\) - coordinates of the vertices increase by 2 (i.e., for a point \((x,y)\) in the original triangle, the new point is \((x + 2,y)\)).