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Standard VIII
Mathematics
Reflection about a particular line
What is the s...
Question
What is the sequence of transformation followed to get UWXYZ from ABCDE?
A
Rotation (clockwise) around origin, translation and then reflection
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B
Rotation (anti clockwise) around origin, translation and then reflection
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C
Reflection and then rotation (anti clockwise) around origin
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D
Reflection and then rotation (clockwise) around origin
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Solution
The correct option is
B
Rotation (anti clockwise) around origin, translation and then reflection
As the shape and size of the figure ABCDE is similar to that of the figure UWXYZ, they are congruent.
Also, they can be transformed into each other after a sequence of transformations.
The transformation sequence is:
Original figure → Rotation along origin → Translation → Reflection along x-axis.
Therefore, the shape ABCDE follow a rotational transformation in 90° anticlockwise direction, then translated and finally reflected along x-axis.
So,
Option (A)
is correct for the given image.
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