Final answer:
To find the coordinates of vertices after a translation, add 10 to the x-value and 7 to the y-value of the original coordinates. This calculation is applied to each vertex individually.
Step-by-step explanation:
The question concerns a translation of the coordinates of vertices in a geometric shape. Given a vertex with coordinates (x, y), a translation that moves the shape 10 units to the right and 7 units up will result in a new set of coordinates: (x + 10, y + 7). For example, if you have an original coordinate at (3, 4), after the translation, the new coordinate will be (3 + 10, 4 + 7) which is (13, 11). This applies to all vertices of the shape in question.
If multiple vertices are given, this operation should be repeated for each vertex to find the new positions of all points after the translation.