Question

Can we say that the transformation in figure 1 is the same as in figure 2? Identify the type of transformation that both the figures will undergo.

• A. No, Figure 1: Translation, Figure 2: Reflection
  
• B. No, Figure 1: Reflection, Figure 2: Rotation
  
• C. Yes, Figure 1 and figure 2: Rotation
  
• D. Yes, Figure 1 and figure 2: Reflection
  

Answer 1

The correct option is D Yes, Figure 1 and figure 2: Reflection


Considering Figure 1:
In figure 1, the transformation involved is not translation, as the position of the points B and C has been swapped when transformed to B' and C'.

Here, we can observe that $\Delta ABC$ is flipped or reflected along the $y$-axis and the image obtained after reflection is $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$. We know that reflection involves flipping an object over a straight line or axis of reflection to get a reflected image. So, $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$ is a reflection of $\Delta ABC$.

Considering Figure 2:

In figure 2, we can observe that $\Delta ABC$ is flipped or reflected along the $x$-axis and the image obtained after reflection is $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$. We know that reflection involves flipping an object over a straight line or axis of reflection to get the reflected image. So, $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$ is a reflection of $\Delta ABC$.

By looking at both figure 1 and 2, we can conclude that figure 1 and figure 2 have undergone the same type of transformation, i.e., reflection.