The orientation of the image does not remain the same.ĭilations in math and geometry in both fields, have practical applications in various real-life scenarios.The angle of the preimage and new image remains the same.The size of the preimage and new image have the same size and shape.The length of line segments remains the same.
The rigid transformation has the following properties.
Angles are moved to angles of the same measure. The ratios of corresponding line segments are equal. The preimage and new image have the same shape, but not the same size. The position and orientation remain the same. Rigid transformation can form rotation, translation and reflection of an object.ĭilation has the following properties that make it differ from rigid transformation. Pre-image and the new image formed by rigid transformation are congruent.ĭilation can only do reduction or contraction of an object’s size. Pre-image and the new image formed by dilation are not congruent. The position and orientation does not remain the same. The position and orientation remain the same. It is a transformation that moves an object without increasing or decreasing its size. It is a transformation of an object that increases or decreases its size. There are some major differences between a dilation and a rigid transformation, which are explained in a difference table below. Therefore, a dilation cannot be termed a rigid transformation. This transformation can be rotational or translational. Whereas in the rigid transformation, an object is transformed by changing its position and orientation. The dilation is a transformation of an object by changing its size. $$(\text$$ Is Dilation a Rigid Transformation? The scale factor can be calculated by dividing the new image size with the dilation calculator on the pre-image size. It depends on the dilation scale factor that is responsible for reduction or contraction of any object. This fixed origin is known as the center of dilation.ĭilation of an image can reduce or expand its size in two-dimension. It is a process of transforming an object or any geometrical image without changing its shape and orientation with respect to a fixed origin. However, the direction and position may change. 
All of these types of transformation preserve the size and shape of the objects. There are three common types of rigid transformation that are reflection, rotation and translation. The new transformed image will be congruent to the pre-image with the same size. The rigid transformation is a transformation of an image or object that moves it from pre-image to new image by changing its position and orientation. In this article, you will learn more about transformation of geometric shapes. Rigid transformation changes the position and orientation of the image, while the dilation only changes the size of the object. Dilation and rigid transformation are the transformation of objects and images.
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