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Geometry
7.6 Dilation
Dilation:
A dilation is a transformation that
stretches
or
shrinks
a figure to create a similar figure.
It is a type of
similarity transformation
.
In a dilation, a figure is enlarged or reduced with respect to a fixed point called
center of dilation
.
The
scale factor
of a dilation is the ratio of a side length of the image to the corresponding side length of the original figure.
You can describe a dilation with respect to the origin with the notation
(x,y)
®
(kx,ky)
, where k is the scale factor.
If 0 < k < 1, the dilation is a reduction.
If k>1, the dilation is an enlargement.
Directions:
Using graph paper and dilate the following figures using scale factor of 1, 2, 3, 4 and 1/2.
Answer the following questions. Also write at least 10 examples of your own.
Q 1
: What is the scale factor of the dilated figure.
Answer:
Q 2
: If the scale factor is 2. Draw a dilation of quadrilateral ABCD with vertices A(2, 1), B(4, 1) C(4, -1) and D(1, -1). The vertex of the dilated figure for D
^{1}
is ________
(2, -2)
(1, -1)
(8, -2)
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Question 4: This question is available to subscribers only!
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