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Tyrell is going to use ASA to prove that \(\triangle PQR \cong \triangle SOR\). Which of these is a necessary step in Tyrell's proof?

A. Prove that \(\angle QPR = \angle QSR\) by the symmetric property.
B. Prove that \(\angle PQR = \angle SQR\) by the symmetric property.
C. Prove that \(PQ = PQ\) by the reflexive property.
D. Prove that \(OR = OR\) by the reflexive property.

Answer :

To prove APQR - ASOR using ASA, it is necessary to prove that ∠PQR = ∠SQR by the symmetric property.

In Tyrell's proof using ASA, the necessary step is to prove that ∠PQR = ∠SQR by the symmetric property.

  1. Proving that ZQPR = 2QSR by the symmetric property is not necessary for Tyrell's proof using ASA.
  2. Proving that PO : by the reflexive property is not necessary for Tyrell's proof using ASA.
  3. Proving that OR = OR by the reflexive property is not necessary for Tyrell's proof using ASA.

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