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)→
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.
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)→
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)→
Use △ABC and its image △A'B'C' after a dilation to answer the following questions.
What the scale factor of ABC : A'B'C' ?
What do you notice about the angles of the pre-image and the image?
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' ?
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':
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':
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':
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' ?
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 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.
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the scale factor (k) given the graph of each image and its preimage.
k=
Identify the scale factor (k) given the graph of each image and its preimage.
k=
Graph the image of the figure using the dilation given.
(Scale factor) k=
K':
L':
M':
Graph the image of the figure using the dilation given.
D':
E':
F':
G':
Graph the image of the figure using the dilation given.
P':
Q':
R':
S':
