Question

1. (a) similar or not similar? (b) aa, ss, sas, or not similar? (c) \\( \delta j k l \sim \delta \\)____ or not similar

Explanation:

Step1: Check for vertical angles

Vertical angles are equal. So, \(\angle FJE=\angle KJL\) (vertical angles).

Step2: Use AA similarity criterion

We have \(\angle F=\angle L\) (given in the figure's angle markings) and \(\angle FJE=\angle KJL\) (from Step 1). By the AA (Angle - Angle) similarity criterion, the triangles are similar.

Step3: Determine the similar triangle

Corresponding angles: \(\angle K\) corresponds to \(\angle E\), \(\angle L\) corresponds to \(\angle F\), \(\angle KJL\) corresponds to \(\angle FJE\). So, \(\triangle JKL\sim\triangle JEF\)

Answer:

(a) similar
(b) AA
(c) \(JEF\)