Classifying quadrilaterals in a Venn diagram
Classifying quadrilaterals in a Venn diagram
\(\xi=\{\text{quadrilaterals}\hspace{0.15em}\}\), \(R=\{\text{quadrilaterals with four right angles}\hspace{0.15em}\}\) and \(E=\{\text{quadrilaterals with four equal sides}\hspace{0.15em}\}\).
Five quadrilaterals are described below.
\(P\): a rectangle measuring \(7\text{ cm}\) by \(3\text{ cm}\)
\(Q\): a square of side \(4\text{ cm}\)
\(S\): a rhombus of side \(6\text{ cm}\) with an angle of \(70^\circ\)
\(T\): a kite with sides \(5\text{ cm}\), \(5\text{ cm}\), \(9\text{ cm}\) and \(9\text{ cm}\)
\(U\): a trapezium with exactly two right angles and parallel sides of \(5\text{ cm}\) and \(8\text{ cm}\)
- Write the letter of each quadrilateral in the correct region of the Venn diagram.[3]
- \(K=\{\text{squares}\hspace{0.15em}\}\). Using set notation, state the relationship between \(K\) and \(R\).[1]
Solution:
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