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A B C D is a quadrilateral; P , Q , Ra n...

`A B C D` is a quadrilateral; `P , Q , Ra n dS` are the points of trisection of side `A B ,B C ,C Da n dD A` respectively and are adjacent to `Aa n dC` ; prove that `P Q R S` is parallelogram.

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To prove that \(PQRS\) is a parallelogram, we will follow a systematic approach using the properties of triangles and the ratios of segments created by the points of trisection. ### Step-by-Step Solution: 1. **Identify Points of Trisection**: - Let \(P\) be the point of trisection on side \(AB\). - Let \(Q\) be the point of trisection on side \(BC\). - Let \(R\) be the point of trisection on side \(CD\). ...
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