By comparing each angle and side of the congruent triangles ΔΠΕΤ and ΔΜΑΝ, we establish the congruent corresponding parts: PT ≡ MA, PE ≡ MN, and ET ≡ AN, with their respective angles also being congruent.
Step-by-step explanation:
To determine the congruent corresponding parts of the given triangles ΔΠΕΤ and ΔΜΑΝ, we compare each angle and side of the two triangles based on their order within the congruence statement. Since ΔΠΕΤ is congruent to ΔΜΑΝ, we can state the following match-ups for each corresponding part:
ΠΤ (PT) ≡ ΜΑ (MA)
ΠΕ (PE) ≡ ΜΝ (MN)
ΕΤ (ET) ≡ ΑΝ (AN)
Additionally, this implies that the corresponding angles are also congruent. Therefore:
∠Π ≡ ∠Μ
∠Ε ≡ ∠Α
∠Τ ≡ ∠Ν