Answer:
(x + 5, y - 1)
Step-by-step explanation:
Let the top vertex of triangle A is A(-1, 5) and top vertex of triangle B is B(4, 4)
Since, both the triangles are congruent (By SSS property of congruence) there is a rigid transformation from triangle A to triangle B.
Let the triangle A is shifted by a units right and b unit down to form image triangle B,
Rule for the transformation will be,
A(x, y) → B(x + a, y - b)
A(-1, 5) → B(-1 + a, 5 - b)
Since, coordinates of top vertex B are (4, 4)
x - coordinates → (-1 + a) = 4
a = 4 + 1
a = 5
y - coordinates → (5 - b) = 4
b = 5 - 4
b = 1
Therefore, rule for the transformation is → (x + 5, y - 1)
