Question

1. name the corresponding sides based on the diagram below.

ac ≅ ______
lm ≅ ______
bc ≅ ______

Explanation:

Step1: Identify corresponding sides by angle - side relationships

In congruent triangles (implied by the markings), sides opposite equal angles are congruent.

Step2: Match \(AC\)

\(AC\) is opposite the angle marked with one arc in \(\triangle ABC\). In \(\triangle MNL\), \(NL\) is opposite the angle marked with one arc. So \(AC\cong NL\).

Step3: Match \(LM\)

\(LM\) is opposite the angle marked with two arcs in \(\triangle MNL\). In \(\triangle ABC\), \(AB\) is opposite the angle marked with two arcs. So \(LM\cong AB\).

Step4: Match \(BC\)

\(BC\) is opposite the angle marked with three arcs in \(\triangle ABC\). In \(\triangle MNL\), \(MN\) is opposite the angle marked with three arcs. So \(BC\cong MN\).

Answer:

\(AC\cong NL\), \(LM\cong AB\), \(BC\cong MN\)