Question

The point $(2,3)$ is first reflected in the straight line $y=x$ and then translated through a distance of $2$ units along the positive direction x-axis. The coordinates of the transformed point are

• A. $(5,4)$
• B. $(2,3)$
• C. $(5,2)$
• D. $(4,5)$

Answer 1

The correct option is C $(5,2)$

Reflection of the point (2,3) in the straight line $y=x$ is
$(3,2)$.
Now the point is translated through a distance of 2 units in the positive x direction.
Hence
$P=(3+2,2)$
$=(5,2)$.