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Ex 7.1, 2 - ABCD is a quadrilateral in which AD = BC - SAS

  1. Chapter 7 Class 9 Triangles
  2. Serial order wise
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Ex 7.1, 2 ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that (i) ΔABD ≅ ΔBAC (ii) BD = AC (iii) ∠ABD = ∠BAC. Given: AD = BC and ∠ DAB = ∠CBA To prove: (i) ΔABD ≅ ΔBAC , (ii) BD = AC , (iii) ∠ ABD = ∠ BAC Proof: In ΔABD and ΔBAC, AD = BC ∠ DAB = ∠ CBA AB = BA Δ ABD ≅ Δ BAC ∴ BD = AC And, ∠ABD = ∠BAC

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