Question

complete the proof that \\( \triangle r s t \cong \triangle t u r \\).

Explanation:

Step1: Identify reason for ∠RTS ≅ ∠TRU

$\overline{RU} \parallel \overline{ST}$ (given), so alternate interior angles are congruent.

Step2: Identify reason for ∠SRT ≅ ∠RTU

$\overline{RS} \parallel \overline{TU}$ (given), so alternate interior angles are congruent.

Step3: Identify reason for triangle congruence

Two pairs of angles and included side are congruent (ASA).

Answer:

1. Alternate Interior Angles Theorem
2. Alternate Interior Angles Theorem
3. ASA Congruence Criterion