Congruence of Triangles

       Made by Spandan B.
1. What is congruence of triangles ?
2. Congruence of any two figures/pictures.
3. Example of Congruence of Triangles.
4. Properties of Congruency.
5. Properties of Congruence of Triangles.
6. Conclusion



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What is Congruence of Triangles ?
   In geometry, two figures are congruent if
  they have the same shape and size.
 This means that either object can be
  repositioned so as to coincide precisely with
  the other object.
 More formally, two sets of points are called
  congruent if, and only if, one figure can be
  transformed into the other.
Are we Congruent ?
 Are the following picture congruent ?
 Let’s paste picture 1 on picture 2
Am I Congruent to You ?
   The following figures may be identical in content
    but they aren't identical in size.
   Fig .1 is slightly larger in size.




              Fig.1                    Fig.2
The first set is equal which is known as congruent.

But the set below is not equal, therefore not congruent.
Let’s move on to congruence of
          triangles.
Find the set of triangles which are
not Congruent.
The figures must be equal in either the ---




                 Measure of the angles



                 The length of the sides


  To make an triangle
congruent the above are
      necessary.
Conclusion




 Triangle ABC and Triangle DEF are congruent.


If two triangles have the
same measure (angles and
sides) they are said to be
congruent.

Congruence of triangles

  • 1.
    Congruence of Triangles Made by Spandan B.
  • 2.
    1. What iscongruence of triangles ? 2. Congruence of any two figures/pictures. 3. Example of Congruence of Triangles. 4. Properties of Congruency. 5. Properties of Congruence of Triangles. 6. Conclusion To review the stated slide/topic by simply clicking on it. To return to this page, click on the arrow given in each page.
  • 3.
    What is Congruenceof Triangles ?  In geometry, two figures are congruent if they have the same shape and size.  This means that either object can be repositioned so as to coincide precisely with the other object.  More formally, two sets of points are called congruent if, and only if, one figure can be transformed into the other.
  • 4.
    Are we Congruent?  Are the following picture congruent ?  Let’s paste picture 1 on picture 2
  • 5.
    Am I Congruentto You ?  The following figures may be identical in content but they aren't identical in size.  Fig .1 is slightly larger in size. Fig.1 Fig.2
  • 6.
    The first setis equal which is known as congruent. But the set below is not equal, therefore not congruent.
  • 7.
    Let’s move onto congruence of triangles.
  • 8.
    Find the setof triangles which are not Congruent.
  • 9.
    The figures mustbe equal in either the --- Measure of the angles The length of the sides To make an triangle congruent the above are necessary.
  • 10.
    Conclusion Triangle ABCand Triangle DEF are congruent. If two triangles have the same measure (angles and sides) they are said to be congruent.