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Chapter 14: Q16. (page 580)

Draw a pentagon and a line n such that Rn maps the pentagon to itself.

Short Answer

Expert verified

Dotted line is the line of reflection.

Step by step solution

01

Step 1. Given Information.

After reflection the image is same as previous.

02

Step 2. Explanation.

Choose a pentagon with length of all side equal, now taking the mid-point of any of its side, and drawing a line from that point to a vertex opposite to it.

Now using the new line as the line of reflection, the same figure can be obtained, as the two part of the figure are isometric to each other.

03

Step 3. Conclusion.

Hence, the dotted line is the line of reflection.

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