Question

Consider the following statements:
(1) If three sides of triangle are equal to three sides of another triangle, then the triangles are congruent.
(2) If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.

Of these statements,

• A. $\left(1\right)$ is correct and $\left(2\right)$ is false
• B. Both $\left(1\right)$ and $\left(2\right)$ are false
• C. Both $\left(1\right)$ and $\left(2\right)$ are correct
• D. $\left(1\right)$ is false and $\left(2\right)$ is correct

Answer 1

The correct option is A $\left(1\right)$ is correct and $\left(2\right)$ is false

If three sides of triangle are equal to other three sides of the triangle, then the two triangles are congruent by SSS rule.
If three angles of the triangle are equal to other three sides of the triangle, then the two triangles are similar by AAA rule but not congruent.