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Bow Tie

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

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Weekly Problem 18 - 2007

A regular pentagon together with three sides of a regular hexagon forma cradle. What is the size of one of the angles?

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Weekly Problem 53 - 2007

The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x?

Weekly Problem 45 - 2008

Stage: 3 Challenge Level: Challenge Level:1

pentagon

 The diagram shows a regular pentagon with two of its diagonals. If all the diagonals are drawn in, into how many areas will the pentagon be divided?

 

 

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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