Section 4.3

In class today we covered Section 4.3. In this section, we learned many things regarding to congruent triangles. To be more specific, we learned about: CPCTC, the Properties of Congruent Triangles, and Congruence Transformations.

CPCTC is a rule that allows us to prove our answers, usually when doing a proof. It stands for Corresponding Parts of Congruent Triangles that are Congruent. This rule tells us that corresponding angles are congruent and corresponding side are congruent. Here’s how that would look.

Properties of Congruent Triangles: are properties that we seen before, but now they can be used to classify steps when doing a proof for a triangle. The properties are:

Reflexive Property of Congruent Triangles: where every triangle is congruent to itself

Symmetric Property of Congruent Triangles: if triangle DOG is congruent to triangle CAT, then triangle CAT is congruent to triangle DOG

Transitive Property of Congruent Triangles: if triangle CAT is congruent to triangle DOG & triangle DOG is congruent to triangle ELK, then triangle CAT is congruent to triangle ELK.

Finally, we learned about the three Congruence Transformations. These show us that you can slide, flip, reflect, or turn a triangle. When doing this, remember that the size and shape will never change.