Question

Which of the following statements is correct for the two triangles to be congruent by AAS postulate ?

• A. Two angles and side between the two angles of a triangle are equal to the corresponding two angles and side between the two angles of another triangle respectively.
• B. Two angles and a side not between the two angles of a triangle are equal to the corresponding two angles and the corresponding side not between the two anglesof another triangle respectively.
• C. $a$ and $b$ both
• D. Neither $a$ nor $b$

Answer 1

The correct option is B Two angles and a side not between the two angles of a triangle are equal to the corresponding two angles and the corresponding side not between the two anglesof another triangle respectively.

Two angles and a side not between the two angles of a triangle are equal to the corresponding two angles and the corresponding side not between the two angles of another triangle respectively then the triangles are known to be congruent by AAS postulate.


Here, $\angle A=\angle D$
$\angle B=\angle E$
$BC=EF$ (side not between given pair of equal angles)
Hence, option $\left(b\right)$ correct.