which propery of a rigid transformation is exclusive to a ratio?
The property of a rigid transformation that is exclusive to a ratio is known as the scale factor. The scale factor determines the amount by which the size of an object changes during a rigid transformation. It represents the ratio of the lengths of the corresponding sides of the transformed object to the original object.
To find the scale factor of a rigid transformation, you need to compare the corresponding side lengths of the original object and the transformed object. The scale factor can be calculated by dividing the length of the corresponding side in the transformed object by the length of the corresponding side in the original object.
For example, if a line segment in the original object has a length of 6 units and the corresponding line segment in the transformed object has a length of 2 units, the scale factor would be 2/6 or 1/3.
It's important to note that a ratio is a comparison of two quantities and can be expressed in different forms, such as a fraction, decimal, or percentage. In the context of a rigid transformation, the scale factor is the specific ratio that describes the change in size between the original object and the transformed object.