Question

Triangle ABC Lies on the coordinate plane with vertices located at A(7,3), B(4,-5) and C (-2, 1). The triangle is transformed using the rule (x,y) (x + 4, y - 1) to create triangle A'B'C'. Determine the coordinates of A'B'C'.​

Answer 1

• A' (11, 2)
• B' (8, - 6)
• C' (2, 0)

Explanation:

Given vertices:

• A(7, 3), B(4, -5) and C(- 2, 1)

Given transformation rule:

• (x, y) → (x + 4, y - 1)

Apply the rule to given points to get new coordinates:

• A' = (7 + 4, 3 - 1) = (11, 2)
• B' = (4 + 4, - 5 - 1) = (8, - 6)
• C' = (- 2 + 4, 1 - 1) = (2, 0)