**Contents**show

## Which transformation results in a figure that is similar?

A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a **dilation**. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure.

## Under which transformation can the image be a different size than the original figure?

**A dilation** is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation used to create an image larger than the original is called an enlargement.

## Which transformation S changes the size of a figure but does not change its shape Select all that apply?

There are four main types of transformations: **translation**, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.

## Which sequences of transformation will produce figures that are similar but not congruent?

The correct answer is: **dilation and rotation**.

## Do similar shapes have the same angles?

**Similar figures have the same shape** (but not necessarily the same size) and the following properties: Corresponding sides are proportional. … Corresponding angles are equal.

## What are figures that have the same shape but not necessarily the same size?

**Congruent**. Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size.

## Which of the following transformations Cannot affect the size of a figure?

There are three kinds of **isometric** transformations of 2 -dimensional shapes: translations, rotations, and reflections. ( Isometric means that the transformation doesn’t change the size or shape of the figure.)

## Are the size and shape of a figure preserved under the following transformations?

**Translation**: Translation is a type of transformation which is used to describe a function that moves an object a certain distance. In this transformation, dimensions of the figure is always preserved. Therefore, In Reflection, rotation and translation, dimensions of the figure are always preserved.

## Which transformations are Nonrigid transformations?

**Translation and Reflection transformations** are nonrigid transformations.

## Which transformations do not preserve orientation of the figure?

**Reflection** does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.