Confused about the SSS, SAS, AAS, ASA, and CPCTC in geometry? This is for you!
SSS, SAS, AAS, and ASA are used to prove triangles congruent. The CPCTC is used to prove corresponding parts of corresponding triangles congruent.
If all three sides of two triangles are congruent, then the triangles are congruent.
If two sides and an angle are congruent with the congruent angle in between the two congruent sides, then the triangles are congruent.
If two angles and one side are congruent on both triangles in that order, then the triangles are congruent.
If two angles and a side are congruent with the congruent side in between the congruent angle, the triangles are congruent.
CPCTC: Corresponding Parts of Congruent Angles are Congruent
If two triangles are congruent, then all the corresponding parts of each triangle are congruent also. For example:
ΔABC congruent to ΔDEF, then AB=DE, BC=EF, AC=DF, and so on.