The point $(2,3)$ is first reflected in the straight line $y=x$ and then translated through a distance of 2…
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
$(5,4)$
$(2,3)$
$(5,2)$
$(4,5)$
Solution
Let $P(2,3)$ be the given point and $Q$ be the reflection of point $P(2,3)$ about the line $y=x$. Then, the coordinates of $Q$ are $(3,2)$
Now, the point $Q$ is translated through a distance of 2 units along the positive direction of $X$-axis.
Let the new position of $Q$ be $R$.
Then, the coordinates of $R$ are
$\begin{aligned}
& R=(3+2,2) \\
& R=(5,2)
\end{aligned}$