http://www.ck12.org Chapter 4. Triangles and Congruence
4.4 Congruence Statements
Here you’ll learn how to write a congruence statement and use congruence statements in order to identify corre-
sponding parts.
What if you were told that
4 ABC∼= 4 XY Z? How could you determine which side in 4 XY Zis congruent toBAand which angle is congruent to^6 C? After
completing this Concept, you’ll be able to use congruence statements to state which sides and angles are congruent
in congruent triangles.
Watch This
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter4CreatingCongruenceStatementsA
Watch the first part of this video.
MEDIA
Click image to the left for more content.James Sousa:Introduction toCongruent Triangles
Guidance
When stating that two triangles are congruent, use acongruence statement. The order of the letters is very
important, as corresponding parts must be written in the same order. Notice that the congruent sides also line
up within the congruence statement.
AB∼=LM,BC∼=MN,AC∼=LN
We can also write this congruence statement several other ways, as long as the congruent angles match up. For
example, we can also write 4 ABC∼= 4 LMNas: