Question

Prove: ZLEZOΟ AJLKOMNSSSZLE LO correspondingparts of congruent triangles are congruentSASALJK OMNZLA ZO correspondingparts of congruent triangles are congruentΟ ΔLKg ΔΟΜΝ SSS, ZL ZO correspondingparts of congruent triangles are congruentALKJ & OMN SAS, ZLAZO correspondingparts of congruent triangles are congruentN111M

Answer 1

On the diagram, notice that the segment LJ corresponds to the segment OM, JK corresponds to MN and KL corresponds to NO. Furthermore, those sides are congruent, which is enough to prove via SSS that:

`\Delta LJK\cong\Delta OMN`

From the options, two of them are wrong because they say that SAS is used to prove triangle congruence, which is not the case.

From the other two options, the order of the vertices on JLK is not in correspondence to OMN. Therefore, the correct answer is the third one.