Subjects

Subjects

More

Search

AI Knowunity

Subjects

/

Arithmetic

/

Transformations

/

Dilations

How Shapes Change: Triangle Dilation from the Center

View

How Shapes Change: Triangle Dilation from the Center
user profile picture

Chelsea

@zuncho

·

625 Followers

Follow

Triangle dilation scale factor explanation and coordinate geometry transformations guide for students learning about geometric transformations and similarity.

  • Learn how to perform dilation using origin as center with various scale factors
  • Understand how to calculate coordinates of dilated figures and identify transformations
  • Master the process to determine dilation enlargement or reduction based on scale factors
  • Practice applying dilation rules and coordinate transformations
  • Explore relationships between original and dilated figures including angle preservation and size changes

6/26/2023

24

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

View

Page 2: Scale Factors and Their Effects

This page explores how scale factors affect dilations and the relationships between original and dilated figures.

Definition: A scale factor between 0 and 1 results in a reduction, while a scale factor greater than 1 results in an enlargement.

Example: Triangle ABC with vertices A(-2,-2), B(-6,-2), and C(-6,2) is dilated by a factor of ½, producing a reduction.

Highlight: When dilating figures, all corresponding angles remain congruent while side lengths are multiplied by the scale factor.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

View

Page 3: Determining Scale Factors

This page focuses on calculating scale factors from given coordinates and understanding transformation sequences.

Example: When point M(-3,5) is dilated to M'(-6,10), the scale factor can be found by comparing corresponding coordinates.

Definition: The scale factor is the ratio of the image's distance from the center to the pre-image's distance from the center.

Highlight: Complex transformations may involve both dilations and translations in sequence.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

View

Page 4: Advanced Dilation Practice

This page provides extensive practice with various scale factors and coordinate calculations.

Example: Triangle ABC is dilated by a factor of 3, transforming A(2,1) to A'(6,3), demonstrating an enlargement.

Highlight: Scale factors can be determined by comparing corresponding coordinates of original and dilated points.

Vocabulary: Corresponding points are points that map to each other in a transformation.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

View

Page 1: Introduction to Dilations and Transformations

This page introduces fundamental concepts of dilations and transformations through practical examples. Students learn to work with coordinate points and apply dilation rules.

Definition: A dilation is a transformation that produces a similar figure by multiplying all distances from a center point by a scale factor.

Example: Triangle DEF with vertices D(-4,1), E(2,3), and F(2,1) is dilated by a factor of 3 using the origin, resulting in D'(-12,3), E'(6,9), and F'(6,3).

Highlight: The rule for dilation can be written as (x,y) → (kx,ky) where k is the scale factor.

Vocabulary: Pre-image refers to the original figure, while image refers to the transformed figure.

Can't find what you're looking for? Explore other subjects.

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

15 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

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Subjects

/

Arithmetic

/

Transformations

/

Dilations

How Shapes Change: Triangle Dilation from the Center

user profile picture

Chelsea

@zuncho

·

625 Followers

Follow

Triangle dilation scale factor explanation and coordinate geometry transformations guide for students learning about geometric transformations and similarity.

  • Learn how to perform dilation using origin as center with various scale factors
  • Understand how to calculate coordinates of dilated figures and identify transformations
  • Master the process to determine dilation enlargement or reduction based on scale factors
  • Practice applying dilation rules and coordinate transformations
  • Explore relationships between original and dilated figures including angle preservation and size changes

6/26/2023

24

 

8th

 

Arithmetic

4

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

Page 2: Scale Factors and Their Effects

This page explores how scale factors affect dilations and the relationships between original and dilated figures.

Definition: A scale factor between 0 and 1 results in a reduction, while a scale factor greater than 1 results in an enlargement.

Example: Triangle ABC with vertices A(-2,-2), B(-6,-2), and C(-6,2) is dilated by a factor of ½, producing a reduction.

Highlight: When dilating figures, all corresponding angles remain congruent while side lengths are multiplied by the scale factor.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

Page 3: Determining Scale Factors

This page focuses on calculating scale factors from given coordinates and understanding transformation sequences.

Example: When point M(-3,5) is dilated to M'(-6,10), the scale factor can be found by comparing corresponding coordinates.

Definition: The scale factor is the ratio of the image's distance from the center to the pre-image's distance from the center.

Highlight: Complex transformations may involve both dilations and translations in sequence.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

Page 4: Advanced Dilation Practice

This page provides extensive practice with various scale factors and coordinate calculations.

Example: Triangle ABC is dilated by a factor of 3, transforming A(2,1) to A'(6,3), demonstrating an enlargement.

Highlight: Scale factors can be determined by comparing corresponding coordinates of original and dilated points.

Vocabulary: Corresponding points are points that map to each other in a transformation.

1 3 Triangle DEFhas vertices D(-4,1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the origin as the point of dilation. The di

Page 1: Introduction to Dilations and Transformations

This page introduces fundamental concepts of dilations and transformations through practical examples. Students learn to work with coordinate points and apply dilation rules.

Definition: A dilation is a transformation that produces a similar figure by multiplying all distances from a center point by a scale factor.

Example: Triangle DEF with vertices D(-4,1), E(2,3), and F(2,1) is dilated by a factor of 3 using the origin, resulting in D'(-12,3), E'(6,9), and F'(6,3).

Highlight: The rule for dilation can be written as (x,y) → (kx,ky) where k is the scale factor.

Vocabulary: Pre-image refers to the original figure, while image refers to the transformed figure.

Can't find what you're looking for? Explore other subjects.

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

15 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