Question

If the pictured triangles are congruent what reason can be given

Answer 1

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.