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A regular pentagon is cut out of a flat piece of cardboard. The pentagon is then placed back into the pentagonal hole. How many ways can the pentagon be placed back into the hole, if the pentagon can be rotated and/or reflected?

Respuesta :

Answer:

5

Step-by-step explanation:

If you place the hole in the cardboard so there's a vertex at the top, and always read the letters clockwise then the first 5 answers are

ABCDE

BCDEA

CDEAB

DEABC

EABCD

There 5 ways can the pentagon be placed back into the hole.

What is pentagon?

A pentagon is a polygon with 5 sides and 5 angles. All the sides of a pentagon meet with each other end to end to form a shape. Therefore, The number of sides of a pentagon = 5.

Consider the name of the Pentagon ABCDE.

So, if we place the cardboard in hole then there is a possibility  that there's a vertex at the top.

Following are the 5 possibilities:

  • ABCDE
  • BCDEA
  • CDEAB
  • DEABC
  • EABCD

Learn more about pentagon here:

https://brainly.com/question/17054992

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