In the given figure if pos …

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Sia ? 6 years, 7 months ago
Given: In figure, {tex}\triangle {/tex} POS {tex} \sim {/tex} {tex}\triangle {/tex}ROQ

To prove: PS {tex}\parallel{/tex}QR
Proof: {tex}\triangle {/tex} POS {tex} \sim {/tex} {tex}\triangle {/tex}ROQ ........[Given]
{tex}\therefore {/tex} {tex}\angle{/tex} PSO = {tex}\angle{/tex} RQO .........[ {tex}\because {/tex} corresponding angle of two similar triangles are equal]
But these form a pair of alternate angles
{tex}\therefore {/tex} PS {tex}\parallel{/tex}QR
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