Dilations

Move the cursors in the box below and get an understanding for what a 'dilation' is in geometry.

Below is a more formal version of a dilation. Let's take a closer look at exactly what is going on here!

1

The origin (0,0) has an effect on the size of the image.

Nokorɛ

Ɛnyɛ ampa

1

What should we set k equal to if we want the image to be the exact same size as the preimage?

0

1

100

1/2

1

A dilation will result in an object congruent to the original.

Always

Never

Only when SF = 1

1

Which transformation changes the orientation (order of the letters) in the shape?

reflection

rotation

dilation

Translation

1

What does is it mean to have a dilation factor of 3 ?

The image is 1/3 of the size of the pre image

The pre-image is 3 times the size of the image

The image is 3 times the size of the pre image

They are both the same size of 3 units

1

Use a graphboard to model and answer the question.
Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0).
What are the coordinates of A' which is the image under this dilation?

(1/2, 3/2)

(6, 7)

(4, 4)

(8, 12)

1

Identify the Scale Factor

2

1/2

4

1

Identify the scale factor from the purple to black

5

1/5

2

10

1

Which type of transformation creates a similar but NOT congruent shape?

reflection

translation

dilation

rotation

1

Which type of transformation changes the location of the shape by turning the object

translation

reflection

rotation

dilation

Dilations

The origin (0,0) has an effect on the size of the image.

What should we set k equal to if we want the image to be the exact same size as the preimage?

A dilation will result in an object congruent to the original.

Which transformation changes the orientation (order of the letters) in the shape?

What does is it mean to have a dilation factor of 3 ?

Use a graphboard to model and answer the question.Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0). What are the coordinates of A' which is the image under this dilation?

Identify the Scale Factor

Identify the scale factor from the purple to black

Which type of transformation creates a similar but NOT congruent shape?

Which type of transformation changes the location of the shape by turning the object

The origin (0,0) has an effect on the size of the image.

What should we set k equal to if we want the image to be the exact same size as the preimage?

A dilation will result in an object congruent to the original.

Which transformation changes the orientation (order of the letters) in the shape?

What does is it mean to have a dilation factor of 3 ?

Use a graphboard to model and answer the question.Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0). What are the coordinates of A' which is the image under this dilation?

Identify the Scale Factor

Identify the scale factor from the purple to black

Which type of transformation creates a similar but NOT congruent shape?

Which type of transformation changes the location of the shape by turning the object

Use a graphboard to model and answer the question.
Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0).
What are the coordinates of A' which is the image under this dilation?

Use a graphboard to model and answer the question.
Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0).
What are the coordinates of A' which is the image under this dilation?