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Congruent Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsCongruent Triangles2 Marks
Question
In Fig. it is given that $\text{AB}=\text{CD}$ and $\text{AD}=\text{BC}.$ Prove that $\triangle\text{ADC}\cong\triangle\text{CBA}.$
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Answer

In $\triangle\text{ADC}$ and $\triangle\text{CBA}$ $\text{AB}=\text{CD}$ (given) $\text{AC}=\text{AC}$ (common) $\text{AD}=\text{BC}$ (given) By SSS congurence criterion $\triangle\text{ADC}\cong\triangle\text{CBA}$

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