8.1 Dilations (Due 5/16/24)

Essential Question: How does a dilation transform a figure?    

Learning Target: Students will be able to perform a dilation of a figure on a coordinate plane.

Complete the entire document and show all work for full credit.

Use complete sentences when prompted.

Required

10

This is an example of what kind of dilation? _______ 

Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→ _______ 

Required

10

This is an example of what kind of dilation?_______ 
Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→ _______ 

Scale Factor

Required

20

Use △ABC and its image △A'B'C' after a dilation to answer the following questions.

Required

5

Required

5

20

Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
J': _______ 
L': _______ 
K': _______ 
M': _______ 

15

Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
W': _______ 

X': _______ 

Y': _______ 

15

Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
S': _______ 

T': _______ 

U': _______ 

10

What is the scale factor of the side lengths of ▭RSTU to ▭R'S'T'U' ?
_______ : _______ 

What is the scale factor of the perimeters of ▭RSTU to ▭R'S'T'U' ?
_______ : _______ 

What is the scale factor of the areas □RSTU to □R'S'T'U' ?
_______ : _______ 

Required

10

What is the relationship between the ratio of the perimeters compared to the ratios of the areas of ▭RSTU and ▭R'S'T'U' from the last problem?

Required

5

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

Required

3

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

Required

10

Required

10

Required

10

Required

10

Required

10

Required

10

Required

10

Required

20

Performing Dilations

Required

20

Graph the image of the figure using the dilation given.
D':_______ 
E':_______ 
F':_______ 
G':_______ 

Required

20

Graph the image of the figure using the dilation given.
P':_______ 
Q':_______ 
R':_______ 
S':_______ 

Learning Log

Required

5

Required

5

Required

10

8.1 Dilations (Due 5/16/24)

Scale Factor

Use △ABC and its image △A'B'C' after a dilation to answer the following questions.

What is the relationship between the ratio of the perimeters compared to the ratios of the areas of ▭RSTU and ▭R'S'T'U' from the last problem?

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

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

Performing Dilations

Learning Log

Scale Factor

Use △ABC and its image △A'B'C' after a dilation to answer the following questions.

What the scale factor of A'B'C'?

What do you notice about the angles of the pre-image and the image?

What is the relationship between the ratio of the perimeters compared to the ratios of the areas of ▭RSTU and ▭R'S'T'U' from the last problem?

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

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

Performing Dilations

Learning Log

What the scale factor of A'B'C'?

What do you notice about the angles of the pre-image and the image?