Question

PLS HELP!!!! Name the postulate or theorem you can sue to prove QTS=SRQ

Answer 1

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

:)

Answer 2

The correct option is 4.

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,

`QS=QS` (Common side and hypotenuse)

`TS=QR` (Given)

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

`\triangle SRQ\cong \triangle QTS`

Therefore the correct option is 4.