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Question
In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?
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Solution
The given information and corresponding figure is given below
AB = AD
BC = CD

From the figure, we have
AB = AD (given)
CB = CD (given)
And,
AC = AC (common sides)
Hence, triangles ABC and ADC are congruent to each other.
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