The sequence of transformations involved is a reflection across the y-axis , followed by a reflection across the line y = x
What is rigid transformation?
- In mathematics, a rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points.
- The rigid transformations include rotations, translations, reflections, or any sequence of these.
- Rigid just means that the whole shape goes through the same transformation, so with rotations, reflections, and translations, the shape should not change at all, just in a different place or orientation.
How to solve this problem?
The steps are as follow:
- By referring to the figure given below
- The shape ABCD first is reflected on the mirror line y = x
- Then it is reflected again on the y-axis [equation of the line is x = 0]
So the sequence of transformations involved is a reflection across the y-axis , followed by a reflection across the line y = x
Learn more about rigid transformation here:
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