What are the different ways to prove triangle congruence?

What are the different ways to prove triangle congruence?

There are several ways to prove triangle congruence, including SSS, SAS, ASA, AAS, and HL. Would you like to know more about each?

Yes, can you explain SSS and SAS?

Sure! SSS stands for Side-Side-Side, which means if all three sides of one triangle are equal to the three sides of another, the triangles are congruent. SAS stands for Side-Angle-Side, meaning if two sides and the included angle of one triangle are equal to those of another, the triangles are congruent.

What about ASA and AAS?

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to those of another, the triangles are congruent. AAS stands for Angle-Angle-Side, meaning if two angles and a non-included side of one triangle are equal to those of another, the triangles are congruent.

Can you give me an example of using SAS?

Of course! Imagine triangle ABC where AB = 5 cm, AC = 7 cm, and angle A = 60 degrees. If triangle DEF has DE = 5 cm, DF = 7 cm, and angle D = 60 degrees, then by SAS, triangle ABC is congruent to triangle DEF.