Answer and explanation:
To find the coordinates of the new vertex that corresponds to K, you can use the formula for enlargement transformation: (x’, y’) = (S(x - a) + a, S(y - b) + b), where (x, y) are the coordinates of the original point, (x’, y’) are the coordinates of the transformed point, S is the scale factor, and (a, b) is the center of enlargement.
Substituting the given values into the formula, we have: (x’, y’) = ((1/3)(10 - 7) + 7, (1/3)(9 - 3) + 3) = (8, 5).
So, the coordinates of the new vertex that corresponds to K are (8, 5).