SME
Grade 10 Math · Geometry
Congruent triangles: SSS, SAS, ASA, AAS and HL
Sort pairs of triangles by the test that proves them congruent: SSS, SAS, ASA, AAS, HL or not enough.
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Which test proves △ABC ≅ △DEF?
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Assumptions
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SSS, SAS, ASA and AAS each prove two triangles congruent; HL does for right triangles.
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In SAS and ASA the angle or side is between the other two parts.
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SSA and AAA don’t prove congruence: two different triangles can match those parts.
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