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In Two Triangles Abc and Adc, If Ab = Ad and Bc = Cd. Are They Congruent? - Mathematics

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Question

In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?

Answer in Brief

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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Criteria for Congruence of Triangles
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Chapter 12: Congruent Triangles - Exercise 12.7 [Page 84]

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RD Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.7 | Q 4 | Page 84
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