Congruence in Grade VII

Hello students today we are going to discuss Congruence. In mathematics you have to deal with many topics, congruence is one of them. If there are two or more objects or figures that have the same size and same shape, they are called congruent objects or figures. In other words the figures are called isometric, i.e. they have same size and same shape. In congruence we can reposition the objects in other shapes than they known as translation, rotation and reflection and combination of all called is transformation. Let’s take an example of triangle that will surely help you to understand this:-If      Two triangles have same corresponding size and same corresponding shape than they are congruent. As shown in figure we have two triangles ABC and DEF and in first triangle AC=7, CB=6 and in second triangle DF=7, FE=6. This implies both the triangles have same size and same shape so we can show their relationship in this way:-

∆ABC≅∆DEF

To determine congruence we have some comparisons, they are:-

-Angle side angle.

-Angle angle side.

-Side angle side.

-Side side side.

-Right angle hypotenuse side.

If any one of the comparisons exists in any figure than they are said to be congruent figures. Generally congruence may be defined in many fields like:-

-In relation.

-In modular arithmetic.

-In groups and subgroups.

-In number theory.

-In general relativity.

-In graphs.

And congruence is present in those shapes where equality is there; like in figures, objects, relations, groups and in many fields.

 

The above described congruence information will surely helpful for grade VII students. In the next topic we are going to discuss Relation between objects in space.