Given: (overline{PQ} parallel overline{JL}) Prove: (frac{JP}{PK} = frac{LQ}{QK}) An incomplete proof is shown in the table. | Step | Statement | Reason | | :--- | :--- | :--- | | 1 | (overline{PQ} parallel overline{JL}) | Given | | 2 | (angle KPQ cong angle KJL, angle KQP cong angle KLJ) | ? | | 3 | (Delta PKQ sim Delta JKL) | AA criterion | | 4 | (frac{JK}{PK} = frac{LK}{QK}) | ? | | 5 | (frac{JP + PK}{PK} = frac{LQ + QK}{QK}) | Segment addition postulate | | 6 | (frac{JP}{PK} + frac{PK}{PK} = frac{LQ}{QK} + frac{QK}{QK}) | Distributive property | | 7 | (frac{JP}{PK} = frac{LQ}{QK}) | Addition property of equality | Which reasons for Step 2 and Step 4 complete the proof? Select all that apply. [ ] Step 2 : When two parallel lines are cut by a transversal, corresponding angles are congruent. [ ] Step 2 : When two parallel lines are cut by a transversal, alternate interior angles are congruent. [ ] Step 4 : Corresponding sides of similar triangles are congruent. [ ] Step 4 : Corresponding sides of similar triangles are proportional. [ ] Step 4 : Corresponding sides of congruent triangles are congruent. [ ] Step 4 : Corresponding sides of congruent triangles are proportional.
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Step 1: Given that \( \overline{PQ} \| \overline{JL} \), this information is provided in the problem statement. Show more…
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