Question

1. the two triangles are congruent. find all missing sides and angles. 2. if \\( \triangle hij \cong \triangle prq \\), complete the congruency statements. \\( \overline { hi } \cong \\) \\( \angle p \cong \\) \\( \overline { pq } \cong \\) \\( \angle jih \cong \\) \\( \overline { jh } \cong \\) \\( \angle j \cong \\)

Explanation:

Step1: Use congruent triangle properties

When \(\triangle HIJ\cong\triangle PRQ\), corresponding parts are congruent.
For \(\overline{HI}\cong\overline{PR}\) (by CPCTC - Corresponding Parts of Congruent Triangles are Congruent).
For \(\angle P\cong\angle H\) (by CPCTC).
For \(\overline{PQ}\cong\overline{HJ}\) (by CPCTC).
For \(\angle JIH\cong\angle RQP\) (by CPCTC).
For \(\overline{JH}\cong\overline{QP}\) (by CPCTC).
For \(\angle J\cong\angle Q\) (by CPCTC).

Answer:

\(\overline{HI}\cong\overline{PR}\), \(\angle P\cong\angle H\), \(\overline{PQ}\cong\overline{HJ}\), \(\angle JIH\cong\angle RQP\), \(\overline{JH}\cong\overline{QP}\), \(\angle J\cong\angle Q\)