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Answer:
i) Yes, ΔADC ≅ ΔABC
ii) Shown that AD = AB and CD = BC
Step-by-step explanation:
Between ΔADC and ΔABC:
∠1 = ∠2 and ∠3 = ∠4
∴ ∠ADC = ∠ABC [since sum of three angles in both the triangles = 180°]
Also, side AC is common between the triangles.
∴ ΔADC and ΔABC are congruent.
i) Yes, ΔADC ≅ ΔABC
ii) Since, ΔADC and ΔABC are congruent, their corresponding sides are equal.
AD is opposite to ∠3 and must be equal to opposite to ∠4.
∴ AD = AB
Similarly, CD is opposite to ∠1 and must be equal to opposite to ∠2.
∴ CD = BC
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Answer:
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zafarfatima2009:
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