I can appreciate and use the criteria by which triangles are congruent (SSS).
I can appreciate and use the criteria by which triangles are congruent (SSS).
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 as the sides fix the angles, that this implies it is true conversely.
Use any regular polygon to highlight that the angles will always be the same, but the edge lengths are not always the same length. Regular polygons are always similar but not necessarily congruent.
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AB - GF
CD - EH
BC - EF
∠DCB - ∠FEH
∠ADC - ∠EHG
∠DAB - ∠HGF
Square - Rectangle
Parallelogram - Rhombus
Isosceles trapezium - Parallelogram
Kite - Trapezium
AB - QR
BC - PR
AC - QP
ST = SV - as ST and SV are both edges of the same square.
TU = VU - as TU and VU are both edges of the same square.
SU - is a common edge to both triangles.
a - PQ
b - QR
c - PR
