Right-angle proof from points on a square

Right-angle proof from points on a square

Secondary 2
TGM Original Questions

\(UVWX\) is a square. Point \(M\) is the midpoint of \(XW\), and \(N\) lies on \(WV\) with \(WN:NV=1:3\). Prove that \(UMN\) is right-angled.

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Answer:\(\triangle UMN\) is right-angled at \(M\).

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