Choose evidence for triangle congruence
The idea
Match corresponding vertices, sides and angles before naming a condition.
Step by step
- Match corresponding vertices, sides and angles before naming a condition.
- Recognize SSS, SAS, ASA and AAS; for SAS and ASA, identify what lies between the other matched parts.
- Check the limits: AAA proves similarity, and SSA does not guarantee congruence for arbitrary triangles.
Example
All three pairs of corresponding sides have equal lengths.
Answer
SSS
Three corresponding side equalities establish side-side-side congruence.
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Draw a triangle and a larger scaled copy. Use them to show why equal corresponding angles alone do not establish congruence.
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