contents and language integrated learning
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CLIL. Contents and Language Integrated learning. Plane Geometry. Congruence, equivalence and similarity. congruence. Congruence. Two figures are congruent if they have exactly the same size and shape . - PowerPoint PPT PresentationTRANSCRIPT
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• Contents and• Language• Integrated• learning
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• Two figures are congruent if they have exactly the same size and shape.
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• 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 .
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• 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.
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In other words, they have matching angles
and matching sides
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• In geometry plane, equivalence is the propriety of two or more plane figures which have the same extension.
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• The equivalence is a relationship between geometric figures that do not necessarily have the same shape, but have the same area.
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• These figures are equivalent because they are equally composed
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• The equivalence relation has three properties which are reflexive, symmetric and transitive.
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• a figure is always equivalent to itself
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• if the figure a is equivalent to b, then b is equivalent to a;
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• Finally, if a is equivalent to b and b is equivalent to c, then a is equivalent to c A B C
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These two postcards, which are similar, aren`t the same
This feature of polygons is called similarity
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There is similarity between two or more polygons if all corresponding angles are
congruent and all corresponding sides are proportional.
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Figures that have the same shape, but do not have the same size, have a relationship of similarity
A B
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