Question

1. sss

a) ∠ljk≅∠jlc
b) (overline{kl}congoverline{cj})
c) ∠ljk≅∠jlc or ∠klj≅∠cjl
d) ∠klj≅∠cjl

Explanation:

Step1: Recall SSS congruence

SSS (Side - Side - Side) congruence states that if three sides of one triangle are congruent to three sides of another triangle, the two triangles are congruent. In \(\triangle CJL\) and \(\triangle KLJ\), we know \(CJ = KL\) (given by the markings), \(JL=JL\) (common side), and assume the third - side congruence is also given for SSS.

Step2: Analyze corresponding angles

When two triangles are congruent by SSS, their corresponding angles are congruent. \(\angle KLJ\) and \(\angle CJL\) are corresponding angles in \(\triangle CJL\) and \(\triangle KLJ\). Also, \(\angle LJK\) and \(\angle JLC\) are not corresponding angles. And \(KL\) and \(CJ\) are sides, not the answer about angles.

Answer:

D. \(\angle KLJ\cong\angle CJL\)