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 (\triangle jnksim\triangle mnl) similarity vertical angles are congruent (angle jkncongangle mln)

Explanation:

Step1: Recall parallel - line angle property

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

Step2: Determine similarity criterion

We have two pairs of congruent angles. The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Answer:

AA (Angle - Angle)