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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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, followed by slide of 10 cm to the left.

b) Figure is reflected about the same horizontal line twice.

c) Figure is rotated clockwise about a point 120° twice.

d) Figure is rotated clockwise about a point 360° twice.

To determine

To choose:

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

Explanation

Approach:

Assume the original figure.

Figure (1)

Slide the figure (1) 10cm to right, and then slide it 10cm to the left, to try the pair of transformations (a).

Figure (2)

The transformation (a) of figure (1) repeats the original figure, as the figure (2) is in the same place as of the original figure.

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

Figure (3)

The transformation (b) of figure (1) leads an image that repeats the original figure

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