ABDC एक समानान्तर चतुर्भुज है जिसमें विकर्ण AD और BC एक दूसरे को O पर समद्विविभाजित करते हैं। AE और DF, BC पर क्रमशः E और F पर लंब हैं। निम्न में से क्या सत्य नहीं है?

This question was previously asked in
SSC CGL Previous Paper 47 (Held On: 6 June 2019 Shift 2)
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  1. ΔADC ≅ ΔABD
  2. ΔAOE ≅ ΔDOF
  3. ΔABC ≅ ΔDCB
  4. ΔAEB ≅ ΔDFC

Answer (Detailed Solution Below)

Option 1 : ΔADC ≅ ΔABD
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F1 V.G D.K 30.09.2019 D 1

जैसा कि हम जानते हैं,

चतुर्भुज में विपरीत भुजाएँ समानान्तर और बराबर हैं और इसके विकर्ण एक दूसरे को समद्विविभाजित करते हैं।

विकल्प (1) को देखिए

ΔADC और ΔABD में

⇒ AC = DB(विपरीत भुजाएँ)

⇒ AD = AD(उभयनिष्ठ)

⇒ ∠ACD = ∠ABD      (विपरीत कोण)

अब, हम कह सकते हैं ΔACD ≅ ΔDBA, ΔADC ≅ ΔABD नहीं

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