After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), and C'(1, 7). What are the coordinates of the vertices of the pre-image?A -B - C -

Given coordinates of the transformed image:A'(6, 3),B'(–2, 1), and C'(1, 7). We need to find the coordinates of the pre-image A, B and C.The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).But we need to find the coordinates of the vertices of the pre-image.So, we need to apply rule (-y,x) ---->(x,y).Applying rule, A'(6, 3) -----> A (3, -6)B'(–2, 1) -----> B(1, 2)C'(1,7) -----> C (7, -1).Therefore, coordinates of the vertices of the pre-image are A (3, -6)B(1, 2)C (7, -1).