Question

Sam designed a logo by performing a transformation ABCD to get A'B'C'D' as shown below. Identify the transformation performed by Sam.

• A. Translation of 1 unit toward the right
  
• B. Rotation of ${90}^{\circ }$ about the origin in the clockwise direction
  
• C. Reflection over the line $y=0$
  
• D. Reflection over the line $x=0$
  

Answer 1

The correct option is D Reflection over the line $x=0$


By looking at the figure, we can say that the image A'B'C'D' has been obtained by reflecting the preimage ABCD over the $y$-axis.
We know that reflection involves flipping an object over a straight line or axis of reflection to get the reflected image. Here, the logo has been reflected along the $y$-axis, which is the same as the line $x=0$.
So, by looking at the options, we can say that the correct transformation done here is reflection over the line $x=0$, which is option A.