8.1 Dilations (Due 5/16/24) - James Parson | Library

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)→ _______ 

Required

20

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

Required

5

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

Required

5

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

5

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

What is the ratio of the perimeters of ABC to A'B'C' ?

_______  to _______

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?

Day 2 5/16/24

Required

5

What should we set 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

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

Identify the scale factor  (k) given the graph of each image and its preimage.

k=_______ 

Required

10

Identify the scale factor  (k) given the graph of each image and its preimage.

k=_______ 

Required

20

Graph the image of the figure using the dilation given.

(Scale factor) k=_______ 


K':_______ 
L':_______ 
M':_______ 

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':_______ 