Which correspondence is equivalent to Δ PQR↔ΔSTU?

A) Δ RQP ↔ ΔUTS?

B) Δ PRQ ↔ ΔTUS?

C) Δ RPQ ↔ ΔSUT?

D) Δ QRP ↔ ΔUST?

Question

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Respuesta :

jalen54349 jalen54349 · Answer 1 · 2019-06-13T23:21:58+02:00

Answer:

A) Δ RQP ↔ ΔUTS

Step-by-step explanation:

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berno berno · Answer 2 · 2019-10-22T19:45:11+02:00

Answer:

Option A) is correct

Step-by-step explanation:

Given : [tex]\Delta PQR \leftrightarrow \Delta STU[/tex]

We need to find which correspondence is equivalent to [tex]\Delta PQR \leftrightarrow \Delta STU[/tex] .

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 [tex]\Delta PQR \leftrightarrow \Delta STU[/tex] as explained below :

As per [tex]\Delta PQR \leftrightarrow \Delta STU[/tex] ,

[tex]PQ=ST\,,\,QR=TU\,,\,PR=SU\\\angle P=\angle S\,,\,\angle Q=\angle T\,,\,\angle R=\angle U[/tex]

Also, as per [tex]\Delta RQP \leftrightarrow \Delta UTS[/tex] , we have

[tex]PQ=ST\,,\,RQ=UT\,,\,PR=SU\\\angle P=\angle S\,,\,\angle Q=\angle T\,,\,\angle R=\angle U[/tex]

Therefore,

[tex]\Delta RQP \leftrightarrow \Delta UTS[/tex] is equivalent to [tex]\Delta PQR \leftrightarrow \Delta STU[/tex]

So, option A) is correct .