Question

Which point is a reflection of point $A$ over the line $y=x$?

• A. $H$
• B. $E$
• C. $D$
• D. $G$

Answer 1

The correct option is A $H$

The graph is symmetric(reflection) w.r.t to the $y=x$ line i.e. $y-x=0$ , If $(x,y)$ is a point on the graph ,then $(y,x)$ is also a point on the graph .

In the given figure ,point $A$ is situated at $(-4,3)$ ,reflection of point $A$ i.e. point $A^{{}^{\prime }}$ must be situated at point $(3,-4)$.

Point $H$ is situated at $(3,-4)$ ,this implies point $H$ is a reflection of point $A$ over the line $y=x$.