Question

1. fill in the blanks for the given flow proof. use the image below to fill in the blanks.

(overline{jk}paralleloverline{lm})
given

vertical angles are congruent
(angle jkncongangle mln)

(\triangle jnksim\triangle mnl)
______ similarity

Explanation:

Step1: Identify angle - angle similarity condition

Since $\overline{JK}\parallel\overline{LM}$, corresponding - angles are congruent. $\angle JKN\cong\angle MLN$ (given). Also, $\angle JNK$ and $\angle MNL$ are vertical angles and vertical angles are congruent.

Step2: Determine similarity criterion

Two pairs of corresponding angles of $\triangle JNK$ and $\triangle MNL$ are congruent. By the AA (Angle - Angle) similarity criterion, $\triangle JNK\sim\triangle MNL$.

Answer:

AA (Angle - Angle)