Answer to Question #300411 in Geometry for Weng

Question

If one side and two angles of one triangle are congruent to two angles and one side of another triangle, are the two triangles guaranteed to be congruent?

Answer 1

If two angles in one triangle are equal to two angles in the other triangle, then all the three corresponding angles are equal.

This means the triangles are similar

If any two corresponding sides are equal, the ratio of all the three corresponding sides must be equal to one.

Therefore the two triangles will have the same shape and size (congruent).