Contents and

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CLIL

• Contents and
• Language
• Integrated
• learning

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Plane Geometry

Congruence, equivalence and similarity
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congruence
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Congruence

• 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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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.

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In other words, they have matching angles and
matching sides
Congruence
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equivalence
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equivalence

• In geometry plane, equivalence is the propriety
  of two or more plane figures which have the same
  extension.

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equivalence

• 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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equivalence

• These figures are equivalent because they are
  equally composed

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equivalence

• The equivalence relation has three properties
  which are reflexive, symmetric and transitive.

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reflexive propriety

• a figure is always equivalent to itself

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symmetric

• if the figure a is equivalent to b, then b is
  equivalent to a

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transitive

• 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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similarity
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These two postcards, which are similar, arent
the same
similarity
This feature of polygons is called similarity
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similarity
There is similarity between two or more polygons
if all corresponding angles are congruent and all
corresponding sides are proportional.
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similarity
Figures that have the same shape, but do not have
the same size, have a relationship of similarity
A B
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BY NICK AND VICTOR