5.6Determining Whether Enough Information Is Given
Quick Answer
Check whether the given information matches one of the five valid shortcuts: SSS, SAS, ASA, AAS, or HL. If it matches SSA or AAA, there is not enough information to guarantee congruence.
Essential Question
How do we decide whether the information given in a problem is sufficient to prove two triangles congruent?
Learning Goals
- 1Identify which congruence shortcut applies to given information.
- 2Recognize when information is insufficient (SSA, AAA).
- 3Use diagrams to extract implied information (shared sides, vertical angles).
- 4Determine what additional information would be needed to prove congruence.
Key Vocabulary
AAA
Angle-Angle-Angle — NOT a congruence shortcut; proves similarity, not congruence.
SSA
Side-Side-Angle — NOT a valid congruence shortcut in general.
Reflexive Property
A segment or angle is congruent to itself; used to identify shared sides or 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.