Answer:
SAS Postulate.
Step-by-step explanation:
Two triangles are congruent if anyone of the following postulates is true:
SAS - Two corresponding sides and the included angles are congruent to each other.
SSS - All the three corresponding sides are congruent.
ASA - Two corresponding angles and the included sides are congruent to each other.
AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.
HL - If the corresponding hypotenuses and one corresponding legs are congruent to each other.
Here, in the figure, two corresponding sides and the included angle between them are congruent to each other.
So, the two triangles are congruent by SAS postulate.
The two triangles are congruent by SAS postulate.
The triangle is congruent if it satisfied one postulate given below,
SAS Postulate.
Two triangles are congruent if anyone of the following postulates is true.
If two corresponding sides and the included angles are congruent to each other.
SSS - All the three corresponding sides of one triangle are congruent to other side of triangle.
ASA - Two corresponding angles and the included sides are congruent to each other.
AAS - Two corresponding consecutive angles and sides adjacent to either of the angles are congruent.
In a given triangle there are two side and angle between two sides is congruent to other triangle.
Therefore, the two triangles are congruent by SAS postulate.
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