Mathematics
Grade-8
Easy
Question
Which series of transformations were performed in the figure?
![](data:image/png;base64,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)
- Translation 5 units down, reflection over the y-axis
- Reflection over the x-axis, translation 6 units’ right
- Rotation 90o clockwise, reflection over the x-axis
- Rotation 180o clockwise, reflection over the y-axis
Hint: