Question

Two points, A and B, undergo a set of transformations as mentioned below.
\(\begin{array}{|l|l|l|l|}
\hline
\text{Point} & \text{Transformation 1} & \text{Transformation 2} & \text{Transformation 3}\\\hline
A(2, 3) & \text{Translation by 3 units} & \text{Reflection about the \(x\)-axis} & \text{Translation by 2 units in }\\
& \text{toward the left} & & \text{the downward direction}\\\hline
B(3, 2) & \text{Translation by 3 units in} & \text{Reflection about the \(y\)-axis} & \text{Translation by 2 units}\\
& \text{ the downward direction} & & \text{toward the right}\\\hline
\end{array}\)
The line formed by joining the transformed points A' and B' is reflected about the \(x\)-axis. Which of the following options represents the correct coordinates of the points joined to form the transformed line?

Answer 1

The image shown below illustrates the transformation of point A to A'.

The image shown below illustrates the transformation of point B to B '.

Now, the image shown below illustrates the reflection of the line joined by connecting points A' and B' across the \(x\)-axis.

From the image shown above, the coordinates of the points joined to form the transformed line are (-1, 5) and (-1, 1).
\(\rightarrow\) Option A is correct.