CLIL • Contents and • Language • Integrated • learning
Plane Geometry Congruence, equivalence and similarity
Congruence • Two figures are congruent if they have exactly the same size and shape.
Precisely two plane figures are said congruent, if there is a rigid motion (which does not lead to deformation), which can lead one of the two figures to coincide with another .
Congruence • When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent.
equivalence • In geometry plane, equivalence is the propriety of two or more plane figures which have the same extension.
equivalence • The equivalence is a relationship between geometric figures that do not necessarily have the same shape, but have the same area.
equivalence • These figures are equivalent because they are equally composed
equivalence • The equivalence relation has three properties which are reflexive, symmetric and transitive.
reflexive propriety • a figure is always equivalent to itself
symmetric • if the figure a is equivalent to b, then b is equivalent to a;
transitive • Finally, if a is equivalent to b and b is equivalent to c, then a is equivalent to c A B C
similarity These two postcards, which are similar, aren`t the same This feature of polygons is calledsimilarity
similarity There is similarity between two or more polygons if all corresponding angles are congruent and all corresponding sides are proportional.
similarity Figures that have the same shape, but do not have the same size, have a relationship of similarity A B
BY NICK AND VICTOR