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Congruence and geometry of size

Congruence geometry: If two objects are of same exact shape and same exact size, then they are called congruent objects. The congruent objects are more like duplicates of each other and fit perfectly when placed on top of each other.

In geometry, congruency is an important property and whenever two geometric shapes have same shape and length, then the angles of one shape are also equal to the other.

Example:

The symbol used to denote congruency is, ‘≡’ which means that the structures are of same shape and equal size.

Congruency in triangles:

Theorems:

SSS: 3 sides of one triangle=3 sides of the other

2) SAS :2 sides and included angle of one triangle=2 sides and included angle of other.

3)ASA :2 angles and included side one triangle= 2 angles and included side of other.

4) AAS :2angles and non-included side=2angles and non-included side of other

Example: If ∆ ABC≡∆DEF and BC=10 units, then EF=? EF=10 (since BC=EF )

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 You can also Read our other blog Angle Definition And Properties (Trigonometry)
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