Which of the following is a correct statement?

Options

A. Two triangles having same shape are congruent.
B. If two sides of a triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent.
C. If the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of the other triangle, then the triangles are not congruent.
D. None of these

Answer

To determine which of the statements regarding triangles is correct, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement 1: Two triangles having the same shape are congruent.**
- This statement is **incorrect**. Two triangles can have the same shape (similar triangles) but different sizes. Congruence requires both shape and size to be the same.

2. **Statement 2: If two triangles have the same shape, then they are congruent.**
- This statement is also **incorrect** for the same reason as Statement 1. Triangles can be similar (same shape) but not congruent (different sizes).

3. **Statement 3: If two sides of a triangle are equal to the corresponding sides of another triangle, the triangles are congruent.**
- This statement is **correct**. According to the Side-Side-Side (SSS) congruence postulate, if two sides of one triangle are equal to two sides of another triangle, and the included angle is also equal, then the triangles are congruent.

4. **Statement 4: If the hypotenuse and one side of a right triangle are equal to the hypotenuse and one side of another right triangle, then the triangles are congruent.**
- This statement is also **correct**. This is known as the Hypotenuse-Leg (HL) theorem for right triangles, which states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

### Conclusion:
The correct statements are:
- Statement 3 is correct.
- Statement 4 is also correct.