Answer: The answer is (1) (B) y = x and (2) (D) 10 units to the right and 4 units up.
Step-by-step explanation: We are given that ΔA'B'C' is formed after a sequence of transformations applied to ΔABC.
The first is a reflection across a line and second is a translation.
The co-ordinates of point C are (-4, -2). After reflection from the line y = x, the co-ordinates becomes (2, -4).
Also, the coordinates of point C' are (12, 0).
So, to reach point C' from point C, we should add 10 units to the x-coordinate and 4 units to the y-coordinate.
That is, the translation of 10 units right and 4 units up.
Thus, the complete transformation is
The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.
Thus, the correct answer is (1) y = x and (2) 10 units to the right and 4 units up.
