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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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 determine

To choose:

The pairs of transformations lead to an image that repeats the original figure.

Explanation

Approach:

Assume the original figure as follows.

Figure (1)

Slide the figure (1) 10cm to right twice to try the pair of transformations (a).

Figure (2)

The transformation (a) of image does not repeats the original figure, as the figure (2) is not in the same place as of the original figure.

Reflect the figure (1) about a vertical line twice to try the pair of transformations (b).

Figure (3)

The transformation (b) of figure (1) repeats the original figure

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