Answer:
A' = (0, 0)
B' = (-5, -2)
C' = (2, 4)
Step-by-step explanation:
Vertices of triangle ABC:
- A = (2, -3)
- B = (-3, -5)
- C = (4, 1)
Given mapping rule:
(x, y) → (x - 2, y + 3)
This notation tells you that the x-coordinate is translated 2 units to the left, and the y-coordinate is translated 3 units up.
Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':
⇒ A' = (2 - 2, -3 + 3) = (0, 0)
⇒ B' = (-3 - 2, -5 + 3) = (-5, -2)
⇒ C' = (4 - 2, 1 + 3) = (2, 4)
