Question

Consider the following statements relating to the congruency of two right triangles.
(1) Equality of two sides of one triangle with any two sides of the second makes the triangle congruent.
(2) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangle congruent.
(3) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangle congruent.
Of these statements:

• A. $1,2$ and $3$ are correct
• B. $1$ and $2$ are correct
• C. $1$ and $3$ are correct
• D. $2$ and $3$ are correct

Answer 1

The correct option is D $2$ and $3$ are correct

(2) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangle congruent.
(3) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangle congruent.

Statement (2) & (3) are correct