The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure. Which one of the following options correctly shows the resultant figure? Note: The figures shown are representative.
The problem requires determining the resultant figure after two transformations: reflection about a horizontal line and a subsequent clockwise rotation by 90°.
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Reflection:
- The original figure is reflected about the horizontal dashed line. In this step, the figures flip vertically.
- The positions of the shapes change as they reflect across the line.
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Rotation:
- After reflecting, the shape is then rotated clockwise by 90° around an axis perpendicular to the plane of the figure.
- During this rotation, each shape maintains its orientation in relation to the new position it assumes after reflection.
Let's analyze the transformations:
- The arrow originally pointing up will, after reflection, point down. Then after a 90° clockwise rotation, it points right.
- Other shapes similarly adjust their positions and orientations according to the reflection and rotation.
Conclusion: The correct transformation will match the description in this process.
Thus, the correct option is the one depicted in the image above.
Important Questions from Shape Transformation
Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle.
Operation 1: Scale independently along the x and y axes.
Operation 2: Rotation in any direction about the origin.
Which figure among the options can be achieved through a combination of these two operations on the given circle?
- The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure. Which one of the following options correctly shows the resultant figure? Note: The figures shown are representative.
