Respuesta :

Seeing that we have a shared hypotenuse and two sides that are congruent, the theorem that we can use is the HL Theorem.

:)

Answer:

The correct option is 4.

Step-by-step explanation:

According to the HL postulate of congruent triangles, two right angled triangle are congruent if hypotenuse and a corresponding leg are congruent.

From the given figure it is clear that triangle QRS and triangle QTS are two right angled triangles.

In triangle QRS and triangle QTS,

[tex]QS=QS[/tex]                        (Common side and hypotenuse)

[tex]TS=QR[/tex]                         (Given)

Since hypotenuse and one corresponding leg of both triangles are congruent, therefore by HL postulate of congruent triangles both triangles are congruent.

[tex]\triangle SRQ\cong \triangle QTS[/tex]

Therefore the correct option is 4.

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