Question

if ijkl ≅ vwxu, what are the corresponding parts? select all that apply. (overline{lk}congoverline{wv}) (angle jcongangle x) (overline{il}congoverline{vu}) (angle icongangle v)

Explanation:

Step1: Recall congruent - figure property

When two polygons are congruent, their corresponding sides and angles are congruent. The order of the letters in the congruence statement indicates the correspondences. For \(IJKL\cong VWXU\), \(I\) corresponds to \(V\), \(J\) corresponds to \(W\), \(K\) corresponds to \(X\), and \(L\) corresponds to \(U\).

Step2: Check side - correspondences

For sides: \(\overline{IL}\) corresponds to \(\overline{VU}\) (since \(I\) corresponds to \(V\) and \(L\) corresponds to \(U\)), and \(\overline{LK}\) corresponds to \(\overline{UW}\) (not \(\overline{WV}\)).

Step3: Check angle - correspondences

For angles: \(\angle I\) corresponds to \(\angle V\), and \(\angle J\) corresponds to \(\angle W\) (not \(\angle X\)).

Answer:

C. \(\overline{IL}\cong\overline{VU}\), D. \(\angle I\cong\angle V\)