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Answer: The congruent corresponding parts:

∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

Step-by-step explanation:

We know that if two triangles area congruent then the corresponding parts area congruent.

Given: ΔPQR ≅ ΔTSR

Then, ∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

Hence, the congruent corresponding parts:

∠P≅∠T  (first letter)  , ∠Q≅∠S (second letter), ∠R≅∠R (third letter)

segment PQ ≅ segment  TS , segment  QR≅ segment  SR , segment PR ≅ segment TR.

The corresponding parts of a triangle are parts that have the same measurement.

The corresponding parts are: P & T, Q & S and R & R

The given parameter is:

[tex]\mathbf{\triangle pqr \cong \triangle tsr}[/tex]

The above congruence equation means that:

[tex]\mathbf{\angle p \cong \angle t}[/tex]

[tex]\mathbf{\angle q \cong \angle s}[/tex]

[tex]\mathbf{\angle r \cong \angle r}[/tex]

Hence, the corresponding parts are:

P & T, Q & S and R & R

The above highlight means that:

  • P corresponds to T
  • Q corresponds to S
  • R corresponds to R

Read more about corresponding parts at:

https://brainly.com/question/16531688