Page 3: CPCTC Crossword
The final page introduces the concept of CPCTC CorrespondingPartsofCongruentTrianglesareCongruent in triangle congruence proofs.
The first proof involves triangles LMO and NMO, with the given information:
The proof uses the SAS congruence theorem to establish triangle congruence, then applies CPCTC to prove that O is the midpoint of LN.
Highlight: CPCTC is a powerful tool in geometry proofs, allowing us to conclude that corresponding parts of congruent triangles are also congruent.
The second proof deals with triangles ACB and ECD, given:
- AB || ED
- C is the midpoint of AE
This proof employs the AAS congruence theorem and CPCTC to show that BC = DC.
Quote: "Corresponding Parts of Congruent Triangles are Congruent CPCTC"
The crossword puzzle format continues to reinforce the understanding of triangle congruence proofs while introducing the important concept of CPCTC.