These activity sheets give your beginning geometry students practice with shape translations using simple graphics.

#### What Are Geometric Translations? Geometry is a branch of mathematics which has its uses in the practical word. Industries including engineering and construction use geometrical principles to complete tasks. A very important mathematical concept of geometry is transformation. Transformation is an operation in geometry that moves or flips, and it also sometimes changes a figure to create a new figure. There are three types of transformations and these include translations, rotations, and reflections. Translation is the most basic form of transformation. It is a function that moves an object a certain distance and does not have an impact on the shape, size, of orientation of the object. The object before being translated is called pre-image and the after translation it is termed as an image. Just the position of the object is changed.

Transformations, in geometry, move a figure in different ways on a coordinate plane. If each point in a figure is moved in the same direction and distance we call this change a translation. When a figure is translated it does not change size or rotate it just slides across. The movement of a jet across the sky and the path a ball travels when hit by a baseball bat are common examples of translations. These worksheets introduce translations, how to do them, and how to recognize them. Exercises include identifying examples of translation, determining if an expression of translation is true, using coordinate graphs to plot shapes, and more.

# Print Translations Worksheets

## Understanding and Identifying Translations Lesson

This worksheet explains how to understand and identify a translation. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will determine if the second in each pair of pictures is a translation. Ten problems are provided.

## Practice Worksheet

Students will study each pair of pictures and identify translations. Ten problems are provided.

## Review Sheet

The concept of translation is reviewed. A sample problem is solved.

## Practice Worksheet

Students will identify the translations. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency determining whether or not a picture is a translation. Ten problems are provided.

## Skills Check

Students will identify the translations in a series of situations. Three problems are provided, and space is included for students to copy the correct answer when given.

## Translations True and False Lesson

This worksheet explains how to determine if the description of a translation is true or false. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will determine if the described translation is true or false. Ten problems are provided.

## Practice Worksheet

Use the grids to take it home.

## Review and Practice

Students review how to determine if a translation is true or false. Six practice problems are provided.

## Translations Quiz

Students will demonstrate their proficiency in recognizing correct translations. Ten problems are provided.

## True and False Check

Students will say if what they can observe fits the parameters we are trying to measure. Three problems are provided, and space is included for students to copy the correct answer when given.

## Translation and Vectors Lesson

This worksheet explains translation and vectors. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will explain just what the heck is going on in a coordinate plane image. Ten problems are provided.

## Practice Worksheets

Students will answer a series of related questions. Example: Write vector which describes the translation seen on this set of axes? Ten problems are provided.

## Review and Practice

Students review the concepts we have learned here. Six practice problems are provided. Example: Under the translation of 7 units up and -7 units to the right, the point (1,-2) will become (6,-7).

## Quiz

Students will demonstrate their proficiency solving problems involving translation. Ten problems are provided.

## Skills Check

Students will solve the translation problems. Three problems are provided, and space is included for students to copy the correct answer when given.

## Working with Translations Lesson

This worksheet explains how to determine which of a series of figures is a translation of the first figure. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will study the pictures and find the translations, if any exist. Ten problems are provided.

## Practice Worksheet

Students will work more on the skills we have just introduced. Ten problems are provided.

## Review and Practice

Students review how to recognize these movements in figures and explain. Six practice problems are provided.

## Pick Them Out Worksheet

Students will demonstrate their proficiency in recognizing translations. Ten problems are provided.

## Quiz

Notice the way things move through here.

## Working with Translations Check

Students will determine which pictures are translations. Three problems are provided, and space is included for students to copy the correct answer when given.