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How to Translate Shapes and Figures: Fun and Easy Examples for Kids

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How to Translate Shapes and Figures: Fun and Easy Examples for Kids
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Avery Compton

@deadbeatsqaud_06

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Translation shapes examples and reflection transformations are key geometric concepts. This guide covers how to perform translations and reflections on coordinate planes, write translation rules, and identify transformed coordinates.

  • Translations slide figures in a specific direction and distance without changing size or orientation
  • Reflections flip figures over a line of reflection, creating mirror images
  • Both translations and reflections produce congruent images of the original figure
  • Translation rules and vector notation describe the horizontal and vertical shifts
  • Reflection rules depend on the axis or line of reflection used

5/20/2023

299

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Translation Practice Problems

This page provides a series of practice problems to reinforce understanding of translations and how to translate shapes by vectors.

The problems cover various aspects of translations:

  1. Graphing original figures and their images after translation
  2. Writing translation rules using arrow notation
  3. Identifying coordinates of translated figures
  4. Interpreting translation rules and describing them in words

Example: Problem 2 asks students to write a rule for a translation 5 units right and 1 unit up, which can be expressed as (x,y) → (x+5, y+1).

The page also introduces the concept of other transformations, hinting at future topics like rotations and reflections.

Highlight: Regular practice with various translation problems helps students develop fluency in applying translation rules and visualizing geometric transformations.

A multiple-choice question at the end tests students' ability to interpret translation rules correctly, reinforcing the importance of understanding both the direction and magnitude of translations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

More Translation Examples

This page provides additional examples of how to translate a figure on a graph and introduces the concept of writing general translation rules.

Example 3 shows a triangle LMN translated and asks students to write a general rule describing the translation. This reinforces the concept of expressing translations as (x, y) → (x + a, y + b).

Example 4 demonstrates how to:

  1. Graph a triangle given its coordinates
  2. Translate the triangle using the rule (x, y) → (x - 3, y - 1)
  3. Describe the translation in words
  4. Draw the image and identify its coordinates

Vocabulary: Congruent figures have the same size and shape, while similar figures have the same shape but not necessarily the same size.

The page concludes with a discussion on congruence and similarity, emphasizing that translations always produce congruent figures.

Highlight: Practicing various translation examples helps students develop proficiency in applying translation rules and visualizing geometric transformations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Reflections in Geometry

This page introduces the concept of reflections in geometry, another important type of transformation alongside translations.

Definition: A reflection is a transformation that flips a figure over a given line, called the line of reflection.

The page provides two main examples of reflections:

  1. Reflecting triangle ABC over the x-axis
  2. Reflecting triangle ABC over the y-axis

For each example, students are asked to:

  • Draw and label the reflected image
  • Determine the coordinates of the reflected vertices

Highlight: Reflections produce mirror images of the original figure, and the resulting figures are always congruent to the original.

The page introduces the concept of using arrow notation to describe reflections, similar to translations. It also prompts students to consider whether reflected figures are congruent or similar to the original, reinforcing the understanding of these geometric relationships.

Vocabulary: Line of reflection - The line over which a figure is reflected in a reflection transformation.

The lesson concludes by asking students to write a general rule for an x-axis reflection, introducing the concept of reflection rules in coordinate geometry.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Translations in Geometry

This page introduces the concept of translations in geometry and provides examples of how to perform them on coordinate planes.

A transformation changes a figure's size, location, or orientation. Translation shapes examples involve sliding each point of a figure the same distance and direction, creating a congruent image. The resulting figure after a transformation is called the image.

Definition: A translation is a transformation that slides a figure in a specific direction and distance without changing its size or orientation.

Two examples demonstrate how to translate triangles on coordinate planes:

  1. Triangle ABC is translated 1 unit right and 4 units up.
  2. Triangle JKL is translated 4 units left and 5 units up.

Example: For triangle JKL with coordinates J(0,2), K(3,4), and L(5,1), the translated coordinates are J'(-4,7), K'(-1,9), and L'(1,6).

The page introduces the general rule for writing translations: (x, y) → (x + a, y + b), where a and b represent the horizontal and vertical shifts respectively.

Highlight: Understanding how to write and apply translation rules is crucial for solving more complex geometric problems involving transformations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Translations Homework

This page presents a set of homework problems focusing on translation of shapes in Maths and how to do translations in Math.

The problems cover various aspects of translations:

  1. Plotting triangles and finding coordinates of translated vertices
  2. Determining image points under specific translations
  3. Calculating translation vectors given original and image points
  4. Applying the same translation to multiple points

Example: Problem 1 asks students to plot ΔRST with given coordinates and find the coordinates of ΔR'S'T' after a translation of T(3,-5).

The homework reinforces key concepts:

  • Using T(a,b) notation to represent translations
  • Applying translation rules to find new coordinates
  • Working with negative translations
  • Determining translation vectors from given information

Highlight: These problems help students practice applying translation concepts in various contexts, improving their understanding and problem-solving skills.

The page includes a coordinate plane graph for students to use in solving the first problem, encouraging visual representation of translations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

View

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Subjects

/

Geometry

/

Tranformations & translations

/

Symmetry

How to Translate Shapes and Figures: Fun and Easy Examples for Kids

user profile picture

Avery Compton

@deadbeatsqaud_06

·

6 Followers

Follow

Translation shapes examples and reflection transformations are key geometric concepts. This guide covers how to perform translations and reflections on coordinate planes, write translation rules, and identify transformed coordinates.

  • Translations slide figures in a specific direction and distance without changing size or orientation
  • Reflections flip figures over a line of reflection, creating mirror images
  • Both translations and reflections produce congruent images of the original figure
  • Translation rules and vector notation describe the horizontal and vertical shifts
  • Reflection rules depend on the axis or line of reflection used

5/20/2023

299

 

11th

 

Geometry

24

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

Translation Practice Problems

This page provides a series of practice problems to reinforce understanding of translations and how to translate shapes by vectors.

The problems cover various aspects of translations:

  1. Graphing original figures and their images after translation
  2. Writing translation rules using arrow notation
  3. Identifying coordinates of translated figures
  4. Interpreting translation rules and describing them in words

Example: Problem 2 asks students to write a rule for a translation 5 units right and 1 unit up, which can be expressed as (x,y) → (x+5, y+1).

The page also introduces the concept of other transformations, hinting at future topics like rotations and reflections.

Highlight: Regular practice with various translation problems helps students develop fluency in applying translation rules and visualizing geometric transformations.

A multiple-choice question at the end tests students' ability to interpret translation rules correctly, reinforcing the importance of understanding both the direction and magnitude of translations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

More Translation Examples

This page provides additional examples of how to translate a figure on a graph and introduces the concept of writing general translation rules.

Example 3 shows a triangle LMN translated and asks students to write a general rule describing the translation. This reinforces the concept of expressing translations as (x, y) → (x + a, y + b).

Example 4 demonstrates how to:

  1. Graph a triangle given its coordinates
  2. Translate the triangle using the rule (x, y) → (x - 3, y - 1)
  3. Describe the translation in words
  4. Draw the image and identify its coordinates

Vocabulary: Congruent figures have the same size and shape, while similar figures have the same shape but not necessarily the same size.

The page concludes with a discussion on congruence and similarity, emphasizing that translations always produce congruent figures.

Highlight: Practicing various translation examples helps students develop proficiency in applying translation rules and visualizing geometric transformations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

Reflections in Geometry

This page introduces the concept of reflections in geometry, another important type of transformation alongside translations.

Definition: A reflection is a transformation that flips a figure over a given line, called the line of reflection.

The page provides two main examples of reflections:

  1. Reflecting triangle ABC over the x-axis
  2. Reflecting triangle ABC over the y-axis

For each example, students are asked to:

  • Draw and label the reflected image
  • Determine the coordinates of the reflected vertices

Highlight: Reflections produce mirror images of the original figure, and the resulting figures are always congruent to the original.

The page introduces the concept of using arrow notation to describe reflections, similar to translations. It also prompts students to consider whether reflected figures are congruent or similar to the original, reinforcing the understanding of these geometric relationships.

Vocabulary: Line of reflection - The line over which a figure is reflected in a reflection transformation.

The lesson concludes by asking students to write a general rule for an x-axis reflection, introducing the concept of reflection rules in coordinate geometry.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

Translations in Geometry

This page introduces the concept of translations in geometry and provides examples of how to perform them on coordinate planes.

A transformation changes a figure's size, location, or orientation. Translation shapes examples involve sliding each point of a figure the same distance and direction, creating a congruent image. The resulting figure after a transformation is called the image.

Definition: A translation is a transformation that slides a figure in a specific direction and distance without changing its size or orientation.

Two examples demonstrate how to translate triangles on coordinate planes:

  1. Triangle ABC is translated 1 unit right and 4 units up.
  2. Triangle JKL is translated 4 units left and 5 units up.

Example: For triangle JKL with coordinates J(0,2), K(3,4), and L(5,1), the translated coordinates are J'(-4,7), K'(-1,9), and L'(1,6).

The page introduces the general rule for writing translations: (x, y) → (x + a, y + b), where a and b represent the horizontal and vertical shifts respectively.

Highlight: Understanding how to write and apply translation rules is crucial for solving more complex geometric problems involving transformations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

Translations Homework

This page presents a set of homework problems focusing on translation of shapes in Maths and how to do translations in Math.

The problems cover various aspects of translations:

  1. Plotting triangles and finding coordinates of translated vertices
  2. Determining image points under specific translations
  3. Calculating translation vectors given original and image points
  4. Applying the same translation to multiple points

Example: Problem 1 asks students to plot ΔRST with given coordinates and find the coordinates of ΔR'S'T' after a translation of T(3,-5).

The homework reinforces key concepts:

  • Using T(a,b) notation to represent translations
  • Applying translation rules to find new coordinates
  • Working with negative translations
  • Determining translation vectors from given information

Highlight: These problems help students practice applying translation concepts in various contexts, improving their understanding and problem-solving skills.

The page includes a coordinate plane graph for students to use in solving the first problem, encouraging visual representation of translations.

Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati
Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati
Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati
Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati
Key Honors Geometry: Translations Notes A transformation is a change in the size location or orientationon Mof a figure. , Name: A translati

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying