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Resources tagged with Pentagons similar to Golden Fractions:

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Broad Topics > 2D Geometry, Shape and Space > Pentagons

Golden Mathematics

Stage: 5

A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.

Pentakite

Stage: 4 and 5 Challenge Level:

ABCDE is a regular pentagon of side length one unit. BC produced meets ED produced at F. Show that triangle CDF is congruent to triangle EDB. Find the length of BE.

Pentabuild

Stage: 5 Challenge Level:

Explain how to construct a regular pentagon accurately using a straight edge and compass.

Gold Yet Again

Stage: 5 Challenge Level:

Nick Lord says "This problem encapsulates for me the best features of the NRICH collection."

Pent

Stage: 4 and 5 Challenge Level:

The diagram shows a regular pentagon with sides of unit length. Find all the angles in the diagram. Prove that the quadrilateral shown in red is a rhombus.

Dodecawhat

Stage: 4 Challenge Level:

Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

Rose

Stage: 5 Challenge Level:

What groups of transformations map a regular pentagon to itself?

At a Glance

Stage: 4 Challenge Level:

The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?