Dilations

by Jacqueline Turner

| 10 QuestionsMove 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

1

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

True

False

2

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

3

1

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

Always

Never

Only when SF = 1

4

1

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

reflection

rotation

dilation

Translation

5

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

6

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)

7

1

Identify the Scale Factor

2

1/2

4

1

8

1

Identify the scale factor from the purple to black

5

1/5

2

10

9

1

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

reflection

translation

dilation

rotation

10

1

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

translation

reflection

rotation

dilation

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