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Using the information given, what congruence postulate or theorem can be used to prove \(\triangle PQR \cong \triangle TSR\)?

Answer :

Final answer:

To prove triangles PQR and TSR are congruent, apply one of the congruence postulates or theorems, such as SSS, SAS, ASA, or AAS, based on the information known about the triangles. You need to examine the relationship between TLy, Try, and T using trigonometry.

Explanation:

In order to prove that triangles PQR and TSR are congruent (PQR = TSR), you'll need to apply one of the congruence postulates or theorems. These include Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). You'll use one of these based on the given and known information about the sides and angles of the triangles. For example, if you know all three sides of both triangles are equal, you'll use SSS. If two sides and the included angle of both triangles are known and equal, you'll use SAS, and so on. You will need to examine the relationship between TLy, Try, and T using trigonometry to determine the applicable postulate or theorem.

Learn more about Congruence Postulates/Theorems here:

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