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दो समांतर रेखाएँ l और m समांतर रेखाओं p और q के अन्य युग्म द्वारा प्रतिच्छेदित होती है । तो दिखाइये कि `Delta ABC cong DeltaCDA`

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चूँकि दो समांतर रेखाएँ l तथा m समांतर रेखाओं p और q द्वारा प्रतिच्छेदित होती है ।
`:. AD||BC " तथा " AB||CD`
`rArr ABCD` एक समांतर चतुर्भुज है ।
`rArr AB = CD " तथा" BC = AD " और " AC AC `
तब `Delta ABC" तथा "DeltaCDA` में सर्वांगसम की SSS कसौटी के प्रमेय से ,
यहाँ `DeltaABC cong DeltaCDA`
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