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Which one of the options best describes the transformation of the $2$-dimensional figure $\mathbf{P}$ to $\mathbf{Q}$, and then to $\mathbf{R}$, as shown?

  1. $\text{Operation 1:}$ A clockwise rotation by $90^{\circ}$ about an axis perpendicular to the plane of the figure
    $\text{Operation 2:}$ A reflection along a horizontal line
  2. $\text{Operation 1:}$ A counter clockwise rotation by $90^{\circ}$ about an axis perpendicular to the plane of the figure
    $\text{Operation 2:}$ A reflection along a horizontal line
  3. $\text{Operation 1:}$ A clockwise rotation by $90^{\circ}$ about an axis perpendicular to the plane of the figure
    $\text{Operation 2:}$ A reflection along a vertical line
  4. $\text{Operation 1:}$ A counter clockwise rotation by $180^{\circ}$ about an axis perpendicular to the plane of the figure
    $\text{Operation 2:}$ A reflection along a vertical line
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If we observed image $P\rightarrow Q$ as operation $1$ it will rotate $90^\circ$ in a clockwise direction. so Option $B,D$ is eliminated.

From the image, $Q\rightarrow R$ as operation $2$ it is a reflective image based on a horizontal line. so option $C$ is also eliminated.

$\therefore$ Option $(A)$ is correct.
2 votes
2 votes
If seeing this question on mobile screen, do auto-rotation off.

Rotate phone clockwise wise at 90°, Figure P will become same as Figure Q.

Now put mirror horizontally on top of Figure Q, reflection on mirror same as Figure R

Answer: A)
Answer:

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