Example 9 - In Fig 7.31, DA perpendicular AB, CB AB and AC = BD

In ∆ABC and ∆ BAD,

∠A = ∠B

AC = BD

AB = BA

∴ ∆ABC ≅ ∆BAD

Hence,

  ( i ) is correct

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Example 9 In Fig 7.31, DA ⊥ AB, CB ⊥ AB and AC = BD. State the three pairs of equal parts in ∆ABC and ∆DAB. Which of the following statements is meaningful? (i) ∆ABC ≅ ∆BAD (ii) ∆ABC ≅ ∆ABD In ∆ABC and ∆ BAD, ∠A = ∠B AC = BD AB = BA ∴ ∆ABC ≅ ∆BAD Hence, (i) is correct

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