I can appreciate and use the criteria by which triangles are congruent (SAS).
I can appreciate and use the criteria by which triangles are congruent (SAS).
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Pupils may believe that the angle doesn't need to be in between the two known sides.
Use the Geogebra files to demonstrate that more than one triangle can be formed at times, and therefore it does not guarantee congruence between two triangles.
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∠BAF = ∠EFA - as they are interior angles of a regular hexagon (= 120°)
∠GAF = ∠HFA - as they are interior angles of a square (= 90°)
∠BAG = - ∠BAF − ∠GAF (= 30°)
∠HFE = - ∠EFA − ∠HFA (= 30°)
∠BAG = - ∠HFE
AB = AG = FH = FE - as they are in regular polygons with shared edges
