SAS Exploration
In the exploration below, segments A'B' and B'C' are fixed to match the lengths of their corresponding sides AB and BC, and angle B' is fixed to be congruent to angle B.
1. Adjust the vertices of triangle A'B'C' to make a triangle.
2. Manipulate all the vertices of triangle ABC, to see the relationship between both triangles.
(You may have to connect the points in triangle A'B'C' after moving ABC)
Will they always be congruent once you create a triangle?