Answer:
B.
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).
The mapping for reflection in the x-axis is
When we reflect triangle ABC in the x-axis, we obtain
A1(5,-2) B1(2,-4) and C1(2,-1).
The mapping for 90 degrees clockwise rotation about the origin is
When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;
A2(-2,-5) B2(-4,-2) and C2(-1,-2).
The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).
Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is
The correct choice is B.