Question

Which correspondence is equivalent to Δ PQR↔ΔSTU?

A) Δ RQP ↔ ΔUTS?

B) Δ PRQ ↔ ΔTUS?

C) Δ RPQ ↔ ΔSUT?

D) Δ QRP ↔ ΔUST?

Answer 1

A) Δ RQP ↔ ΔUTS

Explanation:

Answer 2

Option A) is correct

Explanation:

Given :
`\Delta PQR \leftrightarrow  \Delta STU`

We need to find which correspondence is equivalent to
`\Delta PQR \leftrightarrow  \Delta STU` .

Solution :

One to one correspondence means measure of each side and each angle of one triangle is equal to the side and angle of the other triangle .

Here, we observe that option A) is equivalent to
`\Delta PQR \leftrightarrow  \Delta STU` as explained below :

As per
`\Delta PQR \leftrightarrow  \Delta STU` ,

`PQ=ST\,,\,QR=TU\,,\,PR=SU\\\angle P=\angle S\,,\,\angle Q=\angle T\,,\,\angle R=\angle U`

Also, as per
`\Delta RQP \leftrightarrow  \Delta UTS` , we have

`PQ=ST\,,\,RQ=UT\,,\,PR=SU\\\angle P=\angle S\,,\,\angle Q=\angle T\,,\,\angle R=\angle U`

Therefore,

`\Delta RQP \leftrightarrow  \Delta UTS` is equivalent to
`\Delta PQR \leftrightarrow  \Delta STU`

So, option A) is correct .