Question

The position of the triangular flag changed from 1 to 2. Identify the transformation that happened.

• A. The transformation followed here is ${90}^{\circ }$ clockwise rotation about the origin.
  
• B. The transformation followed here is reflection along the $y$-axis.
  
• C. The transformation followed here is 5 units left and 1 unit up translation.
  
• D. The transformation followed here is ${270}^{\circ }$ clockwise rotation about the origin
  

Answer 1

The correct option is D The transformation followed here is ${270}^{\circ }$ clockwise rotation about the origin


We know that rotation involves turning an object at a particular angle considering a fixed point as the center of rotation. The number of degrees a figure rotates is known as the angle of rotation.
So we can say that the transformation that happened from flag 1 to flag 2 is rotation.
In the given figure, flag 1, i.e., $\Delta ABC$ is turned clockwise at an angle of ${270}^{\circ }$ about the origin and transformed to
$\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$.

Similarly, the same figure of $\Delta A^{\prime }{B}^{\prime }{C}^{\prime }$ can be obtained if $\Delta ABC$ is turned counterclockwise at an angle of ${90}^{\circ }$ about the origin.
So, the correct answer from the given option is that the transformation involved is rotation at an angle of ${270}^{\circ }$ in the clockwise direction about the origin.