If two angles and the side between them in one triangle are congruent, respectively, to two angles and the side between them in a second triangle, the triangles are congruent.

True

Explanation

This is called ASA Property

We can prove that the triangles shown below are congruent by the ASA property:

Since m(\( \angle P \)) = 60^o and m(\( \angle B \)) = 60^o, the segments are congruent.

\( \angle P \) ≅ \( \angle B \)

Since m(\( \overline{PR} \)) = 9 and m(\( \overline{BC} \)) = 9, the segments are congruent.

\( \overline{PR} \) ≅ \( \overline{BC} \)

Since m(\( \angle R \)) = 82^o and m(\( \angle C \)) = 82^o, the segments are congruent.

\( \angle R \) ≅ \( \angle C \)

Therefore, \( \triangle PQR \) ≅ \( \triangle BAC \)