Core stretch $UVWX$ is a square. Point $M$ is the midpoint of $XW$, and $N$ lies on $WV$ w

Question

Core stretch $UVWX$ 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. $U$ $V$ $W$ $X$ $M$ $N$

Accepted Answer

$\triangle UMN$ is right-angled at $M$.

Right-angle proof from points on a square

Right-angle proof from points on a square

Solution:

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