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8.1 Dilations (Due 5/16/24)

Last updated 12 months ago
23 questions
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 â–³ABC and its image â–³A'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 â–³ABC and its image â–³A'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 â–­RSTU to â–­R'S'T'U' ?
_______ : _______

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

What is the scale factor of the areas â–¡RSTU to â–¡R'S'T'U' ?
_______ : _______
Required
10

What is the relationship between the ratio of the perimeters compared to the ratios of the areas of â–­RSTU and â–­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':_______