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Congruent Triangle Exploration 1

Drag any point on triangle ABC to resize the triangle. Study what happens to triangle EFD when you resize triangle ABC. Also try to coincide (put one triangle on top of the other) and see if they match up.

What happens to the sides of triangle EFD when you resize triangle ABC? State what you have observed.

Can we conclude that 2 triangles will always be congruent given the side-side-side (SSS) combination? (You make sure you tried dragging all the points on triangle ABC to see if this SSS combination will always make the triangles congruent to each other)

Is the statement below true? Triangle ABC is congruent to triangle DEF by SSS (side-side-side)