ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (see Fig. 7.17) Prove that (i) ΔABD ≅ ΔBAC

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Class 9th NCERT CHAPTER 7 Triangles Exercise 7.1 Question No- 2
2. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (see Fig. 7.17). Prove that(i) ΔABD ≅ ΔBAC(ii) BD = AC(iii) ∠ABD = ∠BAC.
OR
"ABCD is a quadrilateral in which side AD is equal to side BC, and angle DAB is equal to angle CBA (see Figure 7.17). Prove that:

(i) Triangle ABD is congruent to triangle BAC.
(ii) Line segment BD is equal to line segment AC.
(iii) Angle ABD is equal to angle BAC."

2. ABCD एक चतुर्भुज है जिसमें AD = BC तथा ∠DAB = ∠CBA है (आकृति 7.17 देखें)। सिद्ध कीजिए कि (i) ΔABD ≅ ΔBAC (ii) BD = AC (iii) ∠ABD = ∠BAC.
या
"ABCD एक चतुर्भुज है जिसमें भुजा AD भुजा BC के बराबर है, तथा कोण DAB कोण CBA के बराबर है (आकृति 7.17 देखें)। सिद्ध कीजिए कि:

(i) त्रिभुज ABD त्रिभुज BAC के समतुल्य है।
(ii) रेखाखंड BD रेखाखंड AC के बराबर है।
(iii) कोण ABD कोण BAC के बराबर है।"

2. abchd ek chaturbhuj hai jisamen ad = bch tatha ∠dab = ∠chb hai (aakrti 7.17 dekhen). siddh keejie ki (i) dabd ≅ dbach (ii) bd = ach (iii) ∠abd = ∠bach.
ya
"abchd ek chaturbhuj hai jisamen bhuja ad bhuja bch ke baraabar hai, tatha kon dab kon chb ke baraabar hai (aakrti 7.17 dekhen). siddh keejie ki:

(i) tribhuj abd tribhuj bach ke samatuly hai.
(ii) rekhaakhand bd rekhaakhand ach ke baraabar hai.
(iii) kon abd kon bach ke baraabar hai."

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