The coordinates of the point are (-1, -6).
Step-by-step explanation:
Step 1:
We need to plot the points for both triangles PQR and .
The points of the triangle PQR are P (1, 6), Q (3, 2), and R (1, 2).
The points of the triangle are (-6, 7), (-4, 3), and (-6, 3).
Step 2:
Now we determine translation of the coordinates.
P (1, 6) becomes (-6, 7).
Q (3, 2) becomes (-4, 3).
R (1, 2) becomes (-6, 3).
So the translation is (x, y) becomes (x - 7, y + 1).
Step 3:
Now we determine the coordinates of square STUV.
The points of the square STUV are S (6, -3), T (6, -7), U (2, -3), and V (2, -7).
The translation is (x, y) becomes (x - 7, y + 1).
For S (6, -3). x = 6 - 7 = -1, y = -3 + 1 = -2, So becomes (-1, -2).
For T (6, -7). x = 6 - 7 = -1, y = -7 + 1 = -6, So becomes (-1, -6).
For U (2, -7). x = 2 - 7 = -5, y = -7 + 1 = -6, So becomes (-5, -6).
For V (2, -3). x = 2 - 7 = -5, y = -3 + 1 = -2, So becomes (-5, -2).
So coordinates of the point are (-1, -6).