How to Find Transformation: Rotations, Reflections, and Translations?
In this article, you will learn how to do the Transformations (Rotations, Reflections, and Translations) on the coordinate plane.
![How to Find Transformation: Rotations, Reflections, and Translations?](https://www.effortlessmath.com/wp-content/uploads/2021/08/how-to-Find-Transformation-Rotations-Reflections-and-Translations-512x240.jpg)
Step by step guide to Find Transformation: Rotations, Reflections, and Translations
Transformation refers to the movement of objects in the coordinate plane. The transformation is an operation that maps the pre-image points to the image points without changing their size or shape.
Three types of transformation in the coordinately plane:
Reflection, Rotation, and Translation.
Reflection is flipping an object across a line without changing its size or shape. So, a reflection is a mirror image of the shape. In this case, the image is a reflection of the pre-image and each point of the image is equidistant from each corresponding point in the pre-image.
Rotation is rotating an object about a fixed point without changing its size or shape. In this case, an image and its pre-image have the same shape and size, but the pre-image may be turned in different directions (for example, clockwise or counterclockwise).
The translation is sliding a figure in any direction without its size, shape, or orientation. In this case, a figure can be moved from one location in a coordinate plane to another location without changing its size, shape, or orientation.
Transformation: Rotations, Reflections, and Translations – Example 1:
Determine whether the given picture represents a reflection, rotation, or translation.
Solution:
The figure has been moved. So, the given movement represents a translation.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations1.png)
Transformation: Rotations, Reflections, and Translations – Example 2:
Determine whether the given picture represents a reflection, rotation, or translation.
Solution:
The figure has been flipped over the line. So, the given picture represents a reflection.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations2.png)
Transformation: Rotations, Reflections, and Translations – Example 3:
Determine whether the given picture represents a reflection, rotation, or translation.
Solution:
The figure has been rotated. So, the given picture represents a rotation.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations3.png)
Transformation: Rotations, Reflections, and Translations – Example 4:
Determine whether the given picture represents a reflection, rotation, or translation.
Solution:
The figure has been moved. So, the given movement represents a translation.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations4.png)
Exercises for Transformation: Rotations, Reflections, and Translations
Determine whether the given picture represents a reflection, rotation, or translation.
1.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations5.png)
3.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations7.png)
2.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations6.png)
4.
![](https://www.effortlessmath.com/wp-content/uploads/2021/08/Transformation-Rotations-Reflections-and-Translations8.png)
![](https://www.effortlessmath.com/wp-content/uploads/2020/04/answer-3.png)
- rotation
- reflection
- translation
- reflection
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