In the given figure if pos similar roq prove that ps is parallel to qr

1.	In the given figure if pos similar roq prove that ps is parallel to qr
Answer» Given: In figure, {tex}\\triangle {/tex} POS {tex} \\sim {/tex}{tex}\\triangle {/tex}ROQTo prove: PS {tex}\\parallel{/tex}QRProof: {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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