Transformations in Mathematics

What is a similarity transformation?

A. A mix up of rigid motion and reflection

B. A combination of rigid motion and dilation

C. A combination of reflection and translation

D. A combination of rotation and dilation

Answer:

B. A combination of rigid motion and dilation

In mathematics, a similarity transformation is a combination of one or more rigid motions such as rotation, reflection, or translation, along with a dilation. This type of transformation results in an image that is similar to the original figure, meaning the shapes are the same but the sizes may be different.

When a figure is transformed using a similarity transformation, the resulting image will have the same angles as the original figure, but the sides may be scaled up or down depending on the dilation factor.

Similarity transformations are important in geometry and can be used to create images that maintain the same shape as the original but are resized according to a specific scale factor.