Question

given that \\( \triangle jkl \cong \triangle uvw \\) and \\( \triangle uvw \cong \triangle abc \\), complete the following statements.
triangle jkl is congruent to triangle abc.
side lk corresponds to sides wv and cb.
angle jlk corresponds to angles

Explanation:

Step1: Use the transitive property of congruence

Since \(\triangle JKL\cong\triangle UVW\) and \(\triangle UVW\cong\triangle ABC\), by the transitive property of congruence (\(a = b\) and \(b = c\) implies \(a = c\)), \(\triangle JKL\cong\triangle ABC\).

Step2: Analyze corresponding sides

For congruent triangles \(\triangle JKL\cong\triangle UVW\), side \(LK\) corresponds to side \(WV\). For congruent triangles \(\triangle UVW\cong\triangle ABC\), side \(WV\) corresponds to side \(CB\).

Step3: Analyze corresponding angles

For congruent triangles \(\triangle JKL\cong\triangle UVW\), \(\angle JLK\) corresponds to \(\angle UWV\). For congruent triangles \(\triangle UVW\cong\triangle ABC\), \(\angle UWV\) corresponds to \(\angle ACB\).

Answer:

Angle \(JLK\) corresponds to angles \(\angle UWV\) and \(\angle ACB\)