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High School Mathematics
A dilation is a transformation that
a figure to create a similar figure.
It is a type of
In a dilation, a figure is enlarged or reduced with respect to a fixed point called
center of dilation
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
, where k is the scale factor.
If 0 < k < 1, the dilation is a reduction.
If k>1, the dilation is an enlargement.
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.
: A triangle has a vertices A(4, -4), B(8, 2) and C(8, -4). Draw the image (Triangle DEF) of the original triangle ABC after a dilation with a scale factor of 1/2. The coordinates of point C of the image are ________.
: Find the coordinates of the vertex B
where the scale factor k = 2 as shown in the figure:
: What is the scale factor of the dilated figure.
: Draw a dilation of the polygon with the given vertices: A(0,0), B(0, 3), C(2, 4), D(2, -1) using the scale factor of 13/2. The coordinates of the vertex D of the image is ______.
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