<p>In the rhombus \(ABCD\), \(P\), \(Q\), \(R\) and \(S\) are the midpoints of \(AB\), \(BC\), \(CD\) and \(AD\), respectively. Prove that</p>
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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">quadrilateral \(PQRS\) is a rectangle.</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">Generalise the above result by stating one sufficient condition that quadrilateral \(ABCD\) must satisfy, such that the quadrilateral formed by joining the midpoints of the four sides of \(ABCD\) is a rectangle.</div></li></ol>

In the rhombus \(ABCD\), \(P\), \(Q\), \(R\) and \(S\) are the midpoints of \(AB\), \(BC\), \(CD\) and \(AD\), respectively. Prove that

Generalise the above result by stating one sufficient condition that quadrilateral \(ABCD\) must satisfy, such that the quadrilateral formed by joining the midpoints of the four sides of \(ABCD\) is a rectangle.

Proofs in Plane Geometry - Midpoint Theorem

Proofs in Plane Geometry - Midpoint Theorem

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Solution:

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