Question

step statement reason 1 pq || jl given 2 ∠kpq≅∠kjl,∠kqp≅∠klj? 3 △pkq∼△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 from the drop - down menus to complete the proof. step 2: when two parallel lines are cut by a transversal, choose congruent. step 4: corresponding sides of choose triangles are choose

Explanation:

Step1: Identify the property for Step 2

When two parallel lines ($PQ\parallel JL$) are cut by a transversal, corresponding - angles are congruent. $\angle KPQ$ and $\angle KJL$ are corresponding angles, and $\angle KQP$ and $\angle KLJ$ are corresponding angles.

Step2: Identify the property for Step 4

For similar triangles $\triangle PKQ\sim\triangle JKL$, corresponding sides of similar triangles are proportional.

Answer:

Step 2: Corresponding angles are; Step 4: similar; proportional