5.8Triangle Congruence Proofs
Quick Answer
A triangle congruence proof: (1) mark the diagram, (2) list what is given, (3) identify which shortcut applies, (4) write statements and reasons in two-column format, (5) state the congruence conclusion.
Essential Question
How do we write a complete, well-organized two-column proof that establishes triangle congruence?
Learning Goals
- 1Plan a triangle congruence proof by analyzing the diagram.
- 2Write complete two-column proofs using all five shortcuts.
- 3Include CPCTC when needed to prove additional parts.
- 4Identify and use implied information (Reflexive Property, vertical angles, parallel lines).
Key Vocabulary
Proof plan
A strategy for organizing a proof before writing it formally.
Implied information
Facts that can be concluded from a diagram without being explicitly stated (e.g., shared sides, vertical angles).
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.