△ABC is reflected to form​​ ​ △A′B′C′ ​. The vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6) . The vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) . Which reflection results in the transformation of ​ △ABC ​​ to ​ △A′B′C′ ​​? A. reflection across the x-axis B. reflection across the y-axis C. reflection across y = x D. reflection across y=−x

Answer:→△ABC is reflected to form​​ ​ △A′B′C′ ​.→→Vertices of △ABC are A(-1, 3) , B(2, 4) , and C(-5, 6)  and the vertices of △A′B′C′ are A′(3, −1) , B′(4, 2) , and C′(6, −5) . Drawing the two images of ΔABC and ΔA'B'C'on two Dimensional Coordinate PlaneWhen, reflection takes place,the two, Image, and Pre-Image are Congruent, that is neither the shape nor the Size changes only translation of the shape takes place on the coordinate plane.Option C: → Reflection across y = x.