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Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.

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Final answer:

In a parallelogram, corresponding angles are congruent.

Step-by-step explanation:

In this question, we are given that PQRS is a parallelogram and S, P, and T are collinear. We need to prove that angle 1 is congruent to angle 4.

Since PQRS is a parallelogram and S, P, and T are collinear, we can conclude that angle 1 and angle 4 are corresponding angles. Corresponding angles in a parallelogram are congruent.

Therefore, we can conclude that angle 1 is congruent to angle 4.

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