CK-12 Geometry - Second Edition

http://www.ck12.org Chapter 4. Triangles and Congruence

Triangle Congruence Recap

To recap, here is a table of all of the possible side-angle relationships and if you can use them to determine
congruence or not.

TABLE4.13:

Side-Angle Relationship Picture Determine Congruence?

SSS Yes

4 ABC∼= 4 LKM

SAS Yes

4 ABC∼= 4 XY Z

ASA Yes

4 ABC∼= 4 XY Z

AAS (or SAA) Yes

4 ABC∼= 4 Y ZX

HL Yes, Right Triangles Only

4 ABC∼= 4 XY Z

SSA (or ASS) NO

AAA NO

Example 7:Write a 2-column proof.