Which shows the image of quadrilateral abcd after the transformation r0, 90°?

which shows the image of quadrilateral abcd after the transformation r0, 90°?

Which shows the image of quadrilateral abcd after the transformation r0, 90°?

The transformation �0,90∘ stands as a fundamental concept in geometry, particularly in altering the orientation of geometric shapes like quadrilaterals. This discourse explores the transformation’s impact on quadrilateral ABCD.

 

Understanding Geometric Transformation

Geometric transformation involves modifying the position, orientation, or size of geometric figures. �0,90∘ specifically denotes a rotation about the origin by 90∘ counterclockwise.

 

Initial Configuration of Quadrilateral ABCD

Quadrilateral ABCD, in its original state, possesses distinct vertices A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4), defining its shape and orientation.

 

Effects of Transformation

Applying �0,90∘ to quadrilateral ABCD results in a counterclockwise rotation of 90∘ around the origin for each vertex. Consequently, the quadrilateral assumes a new orientation and configuration.

 

Conclusion

In summary, the transformation �0,90∘ reshapes quadrilateral ABCD, rotating it counterclockwise by 90∘ about the origin. Understanding such transformations enriches our comprehension of geometric principles and their applications.

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