Post on 22-May-2015
Congruence of TrianglesCongruence 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 ?What is Congruence of Triangles ?
In geometry, two figures are congruent if In geometry, two figures are congruent if they have the same shape and size. they have the same shape and size.
This means that either object can be This means that either object can be repositioned so as to coincide precisely with repositioned so as to coincide precisely with the other object. the other object.
More formally, two sets of points are called More formally, two sets of points are called congruentcongruent if, and only if, one figure can be if, and only if, one figure can be transformed into the other.transformed into the other.
Are we Congruent ?Are we Congruent ?
Are the following picture congruent ? Are the following picture congruent ? Let’s paste picture 1 on picture 2Let’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 Let’s move on to congruence of triangles.triangles.
Find the set of triangles which areFind the set of triangles which are not Congruent. not Congruent.
To make an triangle congruent the above are
necessary.
The figures must be equal in either the ---
Measure of the anglesMeasure of the angles
The length of the sidesThe length of the sides
ConclusionConclusion
Triangle ABC and Triangle DEF are congruent.
If two triangles have the same measure (angles and sides) they are said to be congruent.