ABCDE is a regular pentagon.
Find all the angles in the diagram and mark each set of equal angles in a colour for that set.
Let AE = 1 unit and BE = x units.
Which triangles are isosceles?
Which triangles are similar?
Use similar triangles to give an equation for x and solve the equation.
In each of these diagrams of a regular pentagon find the ratio of the length shown in red to the length in blue in terms of the Golden Ratio $\phi = \frac{1}{2}(1 + \sqrt 5)$.
Prove (1) $\frac{BE}{AE}=\phi$. (2) $\frac{BE}{BR}=\phi$. (3) $\frac{AE}{AR}=\phi$. (4) $\frac{AP}{PR}=\phi$.
Click here for the GOLDEN PENTAGON worksheet.
Click here for the GOLDEN PENTAGON Inclusion and Home Learning Guide.
Click here for the GOLDEN PENTAGON Notes for Teachers.
Click here for the GOLDEN ACTIVITIES FOR ALL poster.
Click here for the GOLDEN PENTAGON poster
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