Rotate 90° anticlockwise around point 0 and then reflect the composition along the x-axis.
The composite transformation involves applying multiple transformations to a figure.
Initially, a 90° counterclockwise rotation about the origin transforms triangle ABC with coordinates A(5,2), B(2,4), and C(2,1) to A'(-2,5), B'(-4,2), and C'(-1,2), respectively.
The process demonstrates the sequential impact of rotations and reflections on the original figure, revealing the evolution of its coordinates through each transformation.
Subsequently, a reflection about the x-axis is performed, altering the coordinates to A"(-2,-5), B"(-4,-2), and C"(-1,-2).
The composite transformation results in a final image triangle with vertices A"(–2, -5), B"(–4, -2), and C"(1, -2).
Question:-
On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2). Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"? 90 degree rotation about point 0 composition reflection across the x-axis Reflection across the x-axis composition 90 degree rotation about point 0 180 degree rotation about point 0 composition reflection across the x-axis Reflection across the x-axis composition 180 degree rotation about point 0