Triangle Congruence Cases
- Jorge Cássio
These are properties that allow us to conclude that two triangles are congruent from just three determined congruences.
2nd Case of Congruence - Angle-Side-Angle
1- Why is the proof strategy correct?
2- Move the "Steps" selector and follow the proof steps. Do you understand? If you didn't understand, write what you didn't understand.
3rd Case of Congruence - Side-Side-Side (SSS)
Proof of the 3rd case of congruence
Change the position of point C so that you have an obtuse triangle. Do any of the steps in the proof have changed? Which ones?
Exterior angles of the convex polygon.
Exterior Angles of a Triangle
Property of the exterior angle of the triangle
Check the box show / hide angle measurements. Change the position of points A, B or C. Compare an exterior angle with its non-adjacent ones. What can you see?
Change the selector "Steps"
4th case of congruence - AAS
Finish the Proof
Prove that AB cannot be greater than A'B'.