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Mathematics

In the given figure, AB = 24 cm, AC = 18 cm, DE = 12 cm, DF = 9 cm and ∠BAC = ∠EDF. Then ΔABC ∼ ΔEDF by the condition :

  1. AAA

  2. SAS

  3. SSS

  4. AAS

In the given figure, AB = 24 cm, AC = 18 cm, DE = 12 cm, DF = 9 cm and ∠BAC = ∠EDF. Similarity of Triangles, RSA Mathematics Solutions ICSE Class 10.

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Answer

ABDE=2412=2\dfrac{AB}{DE} = \dfrac{24}{12} = 2

ACDF=189=2\dfrac{AC}{DF} = \dfrac{18}{9} = 2

Thus,

ABDE=ACDF\dfrac{AB}{DE} = \dfrac{AC}{DF}

∠BAC = ∠EDF [Given ]

∴ ΔABC ∼ ΔEDF (By S.A.S. axiom)

Hence, option 2 is the correct option.

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