Hi..!!

What is the difference between RHS and ASA property.?

 Hi!

Here is the answer to your query.

RHS congruence criterion

If under a correspondence, the hypotenuse and one side of a right triangle are respectively equal to the hypotenuse and one side of another triangle then the triangles are congruent.

Consider two right triangles ABC and DEF in which  ∠B = ∠E = 90°, AC = DF and BC = EF

Here the hypotenuse of AC of right ΔABC is equal to the hypotenuse DF of right ΔDEF. One side BC of right ΔABC is equal to the side EF of right ΔDEF and ∠B = ∠E = 90°

∴  By RHS congruency criterion, we have 

ASA congruence criterion

If under a correspondence, two angles and the included side of a triangle are equal to two corresponding angles and the included side of another angle then the triangles are congruent.  

In ΔPQR and ΔXYZ

∠R = ∠Z

RP = XZ (Included side between two angles)

∠P = ∠X

So by ASA congruence criterion

Cheers!