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

True

Explanation

This is called SAS Property

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

Since m(\( \overline{TV} \)) = 2 and m(\( \overline{FG} \)) = 2, the segments are congruent.

\( \overline{TV} \) ≅ \( \overline{FG} \)

Since m(\( \angle V \)) = 90^o and m(\( \angle G \)) = 90^o, the segments are congruent.

\( \angle V \) ≅ \( \angle G \)

Since m(\( \overline{UV} \)) = 5 and m(\( \overline{EG} \)) = 5, the segments are congruent.

\( \overline{UV} \) ≅ \( \overline{EG} \)

Therefore, \( \triangle TVU \) ≅ \( \triangle PGE \)