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Question
In ΔABC, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then ΔABC and ΔDBE are :
Options:
A .  Similar only if D lies outside the line segment AB
B .  Congruent only If D lies out side the line segment AB
C .  Always similar
D .  Always congruent
Answer: Option C
According to question,
Give :
'D' and 'E' are the points on AB and BC
AC || DE
∠D = ∠A
∠E = ∠C
∴ ΔBDE ∼ ΔBAC

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