Answer:
A = (1, 1)
B = (3, 2)
C = (2, 4)
Step-by-step explanation:
Vertices of the triangle:
- A = (1, 1)
- B = (2, 3)
- C = (4, 2)
Mapping rule for a 90° clockwise rotation about the origin:
(x, y) → (y, -x)
Therefore:
- A' = (1, -1)
- B' = (3, -2)
- C' = (2, -4)
Mapping rule for a reflection in the x-axis:
(x, y) → (x, -y)
Therefore:
- A'' = (1, 1)
- B'' = (3, 2)
- C'' = (2, 4)
Therefore, the coordinates of the new triangle are:
- A = (1, 1)
- B = (3, 2)
- C = (2, 4)
