The Rotation Method

The Rotation Method
The rotation method is one of the most frequently used technique in solving entry level geometry problems.

(3002)

Let $ABCD$ be a square with side length of 1. Find the total area of the shaded parts in the diagram.

(3019)

In pentagon $ABCDE$, if $AB=AE$, $BC+DE=CD$, and $\angle{ABC} + \angle{AED} = 180^\circ$, show that $\angle{ADE}=\angle{ADC}$.

(3021) Let point $P$ be inside of equilateral $\triangle{ABC}$ such that $PA=3, PB=4,$ and $PC=5$. Find the measurement of $\angle{APB}$.

This exercise contains $12$ problems.
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