Question

Two triangles can be said as congruent if

• A. an angle of both the triangles is equal.
• B. an angle and a side of both the triangles are equal.
• C. an angle and two sides of both the triangle are equal.

Answer 1

The correct option is C an angle and two sides of both the triangle are equal.

Two triangles can be said as congruent triangles if two sides and an angle corresponding to both the triangles are equal.


Here, in the two triangles $△ABC$ and $△DEF$

1. side $CA$ and $ED$ have same length,
2. angle $\angle A$ is same as $\angle D$, and
3. side $AB$ and $DF$ have same length.

Hence, these two triangles follows the $\text{Side Angle Side (SAS)}$ property and are congruent to each other.