GeoGebra Classroom

# Transformations Module 5

## Definitions

Rigid Transformations - A transformation that does not alter the size or shape of a figure. ﻿Non-rigid Transformation- A transformation that changes the size or shape of a figure.

## Directions:

Use the definitions of rigid vs. non-rigid transformations in order to fill in the blank of the following definitions of the various transformations. You will also need to use your exploration with the dynamic features of the applets in order to complete all of the blanks for each transformation. Observe the relationship between the side lengths of the original and the image. Observe the relationship between the angles of the original and the image.

## What is a Translation?

A translation of an object is a _________________________ transformation because it keeps the same shape and size of the original, but changes it’s __________________ . The image of a translated shape has angles and side lengths that are ____________________ to the corresponding angles and side lengths of the pre-image (original shape). The vector (or rule – direction and length) moves all the vertices and sides ______________________.

## What is a Reflection?

A reflection of an object is a _________________________ transformation because it keeps the same shape and size of the original, but changes it’s __________________ and ____________________. The image of a reflected shape has angles and side lengths that are ____________________ to the corresponding angles and side lengths of the pre-image (original shape). The line of reflection is the ______________________ of the segments that connect corresponding vertices.

## What is a Rotation?

A rotation of an object is a _________________________ transformation because it keeps the same shape and size of the original, but changes it’s __________________ and ____________________. The image of a rotated shape has angles and side lengths that are ____________________ to the corresponding angles and side lengths of the preimage (original shape). The angle of rotation moves each point/side of the preimage around a given point of rotation the given ______________________ degrees (either counterclockwise or clockwise) so that the angle between corresponding vertices is ________________to the angle of rotation

## What is a Dilation?

A dilation of an object is a _________________________ transformation because it changes the size of the original by a given _______________________. The image of a dilated shape has corresponding angles that are ____________________ and corresponding sides that are ________________ and equivalent to the _____________________.