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Elementary Geometry for College St...
Solutions
Elementary Geometry for College St...
Given a figure, which of the following pairs of transformations leads to an image that repeats the original figure?
a) Figure slides 10 cm to the right twice.
b) Figure is reflected about a vertical line twice.
c) Figure is rotated clockwise about a point 180° twice.
d) Figure is rotated clockwise about a point 90° twice.
To choose:
The pairs of transformations lead to an image that repeats the original figure.
Approach:
Assume the original figure as follows.
Figure
Slide the figure
Figure
The transformation (a) of image does not repeats the original figure, as the figure
Reflect the figure
Figure
The transformation (b) of figure (1) repeats the original figure
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