Math 8
Notes 6.7 Dilation
Name ________________________
Date: _____________ Block: ____
Dilation is a transformation of an object that produces an image of the same shape but of different size.
Note: here we call it dilation, but other people call it resizing, enlargement, compression, or stretch!
When you dilate a shape, it gets bigger or smaller, but it still looks similar:


All corresponding angles stay the same
All corresponding sides are ______________________ .
The ratio of the dilated image to the original is called the ____________________________ .
1. Center of Dilation is the origin (0, 0)
Triangle LMN has vertices L(8, 2), M(10, 8), N(4, 6). Find the coordinates of its image for a dilation
with each given scale factor, using origin as a center of dilation. Graph LMN and each dilation.
a.
Original Figure
L
M
N
Image
L’
M’
N’
b.
Original Figure
Image
L’’
M’’
N’’
Original Figure
Image
L’’’
M’’’
N’’’
L
M
N
c. 2
L
M
N
2. Center of Dilation is NOT the origin.



Draw RAYs from center of dilation through every vertex (corner).
The new vertices will be located on these lines.
Measure each distance from the center of dilation to each vertex.
Multiply the distances by a scale factor and plot the points on the
rays.
Connect the points.
3. Center of Dilation is a) ON or
b) INSIDE the shape.
a) center: A,
b)
center: C,