Question

if jihk ≅ rstq, what are the corresponding parts? select all that apply. ∠j ≅ ∠r (overline{hi}congoverline{qt}) ∠i ≅ ∠q ∠k ≅ ∠q

Explanation:

Step1: Identify corresponding vertices

When \(JIHK\cong RSTQ\), the order of vertices matters. The first - named vertices of each polygon are corresponding, the second - named vertices are corresponding, and so on.

Step2: Determine corresponding angles and sides

For angles, \(\angle J\) corresponds to \(\angle R\), \(\angle I\) corresponds to \(\angle S\), \(\angle H\) corresponds to \(\angle T\), \(\angle K\) corresponds to \(\angle Q\). For sides, \(\overline{HI}\) corresponds to \(\overline{TQ}\) (but the order of naming the endpoints of the segment matters, so \(\overline{HI}\cong\overline{TQ}\) is wrong as written in the options, it should be \(\overline{HI}\cong\overline{QT}\)).

Answer:

A. \(\angle J\cong\angle R\), B. \(\overline{HI}\cong\overline{QT}\), D. \(\angle K\cong\angle Q\)