Given:
The figure.
To find:
The theorems that proves triangles SRP and QRP are congruent.
Solution:
From the given figure, it is clear that in triangle SRP and QRP,
Hypotenuse of triangles : [tex]PS=PQ[/tex] (Given)
Legs of triangles : [tex]SR=QR[/tex] (Given)
Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.
[tex]\Delta SRP\cong \Delta QRP[/tex] (HL postulate of congruence)
Therefore, the correct option is E .
