# Similarities and Translations

# Vocabulary

**Translation-** an operation in which a preimage is moved on a scale to form and image

**Preimage- **a image before it has been moved

There are 4 different transformations; rotation, dilatation, reflection, and translation

** Rotations-** the movement of a figure around the axis or a specific angle

**Dilation-** an enlargement of shrinkage of a preimage

**Reflection-** a mirror image

**Translation- **when a preimage is slid into another position

**Similarities- **figures that are the same shape but differ in size

**Scale factor- **the ratio of the lengths of two corresponding sides of two similar polygons

# Identifying Similarities

When you look for similarities between figures, look for dilation and other transformations. To make an image similar to another you can enlarge it or shrink it using scale factor. In the example above, you would dilate the image by 6m. After you are done dilating the preimage, you can translate the preimage until the two figures match. If the measures of any sides or angles do not match on the two given figures ,according to scale factor they are not similar.

# Transformations