Answer:
The coordinates of point B' are (3, 9)
Step-by-step explanation:
If the point (x, y) translated by a vector <a, b>, then its image is (x + a, y + b)
Let us use this rule to solve the question
In Δ ABC
∵ The coordinates of vertex A are (1, 3)
∵ The coordinates of vertex B are (2, 5)
∵ The coordinates of vertex C are (5, 3)
∵ Δ ABC is translated by the vector <1, 4>
→ By using the rule above add the x-coordinate of point B by 1
and the y-coordinate of point B by 4
∴ B' = (2 + 1, 5 + 4)
∴ B' = (3, 9)
∴ The coordinates of point B' are (3, 9)
