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Name the postulate or Theorem you can use to prove SUR,TVR

Name the postulate or Theorem you can use to prove SUR,TVR-example-1

2 Answers

4 votes
I think it SAS Postulate because angle SRU and TRV are equal because they are vertical angles. And lines SR and TR are congruent and RU and RV are also congruent. Hope this helps, but I’m not a 100% sure though.
2 votes

Answer: The correct option is

(B) ASA postulate.

Step-by-step explanation: We are given to name the postulate or theorem that we can use to prove that ΔSUR ≅ ΔTVR.

It is given that

∠SUT ≅ ∠SVT and UR ≅ VR.

From the given information, we have

In triangles SUR and TVR,

∠SUR ≅ ∠TVR

UR ≅ VR

and

∠URS ≅ ∠VRT [Vertically opposite angles]

Therefore, by ASA (angle-side-angle) postulate, we find that

ΔSUR ≅ ΔTVR.

Thus, ΔSUR ≅ ΔTVR by ASA postulate.

Option (B) is CORRECT.

User Caj
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