Question

Which of the following pair of triangles are congruent by AAS postulate?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

In option$\left(a\right)$
$\angle E=\angle B\angle F=\angle C$
one non included side of $△DEF$ i.e. DF is equal to the corresponding non-included side of $△ABC$ i.e. AC
Hence, the two triangles are congruent by AAS postulate.

In option$\left(b\right)$
all the three sides of one triangle are equal to the corresponding sides of another triangle so triangles are congruent by the SSS postulate.

In option$\left(c\right)$
Two corresponding angles of both triangles are equal and included side between the angles of each triangle is equal to the corresponding one of another triangle so triangles are congruent by ASA postulate.

And in option$\left(d\right)$
Two corresponding sides of both triangles are equal and included angle between the sides of each triangle is equal to the corresponding one of another triangle so triangles are congruent by SAS postulate.