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What set of reflections and rotations would carry rectangle ABCD onto itself?

Reflect over the y-axis, reflect over the x-axis, rotate 180°
Rotate 180°, reflect over the x-axis, reflect over the line y = x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y = x

What set of reflections and rotations would carry rectangle ABCD onto itself? Reflect-example-1
User Sumit Kumar Saha
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2 Answers

16 votes
16 votes

Final answer:

The set of reflections and rotations that would carry rectangle ABCD onto itself is to reflect over the y-axis, reflect over the x-axis, and rotate 180°.

Step-by-step explanation:

To carry a rectangle onto itself, we need to perform a set of reflections and rotations that result in the same shape. From the given options, the correct set of transformations is:

  1. Reflect over the y-axis
  2. Reflect over the x-axis
  3. Rotate 180°

These three transformations preserve the shape, position, and orientation of the rectangle.

User Bhargav Panchal
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2.6k points
17 votes
17 votes

Answer:

2 line is the answer to the questions

User Abhijith Mogaveera
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2.9k points
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