“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.” Is the statement true? Why?
If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.
Yes, the given statement is true because, by the AAS criterion of congruence, triangles are congruent.
Let us consider ABC and
PQR
AC = PR
B =
Q,
C =
R
ABC
PQR
Therefore the given statement is true.