Congruent Figures

In our daily life we see many congruent objects like as, 

(i) Two 2 Rupees, 5 Rupees, or 10 Rupees coins.

(ii) Two text books of mathematics of same class. 

Two figures or objects are called congruent, when one object cover the other completely and exactly.

This means that two books or coins are same shape and size.

If two objects are congruent then the relation of them is called “Congruence”. 

Congruent objects are exact copies of one another.

Congruence of Two figures : Two figures or objects are called congruent when one object cover the other completely and exactly.

This means that two books or coins are same shape and size.

Congruence of Two figures

 Here we can see two figures. Are they Congruent?

When we superpose one figure A over the other figure B with tracing paper then it will cover the other completely, it means figures A and B are Congruent.

In above figure rectangles ABCD and PQRS congruent.

In above figure triangles ABC and PQR congruent.

Definition : 

Two figures are called “Congruent” if they have same in shape and size.

Congruence of Line Segments

In geometry, Two line segments are congruent if they have same in length.

We observe that two pairs of line segments are congruent if they are same in length.

In above figure line segment AB and CD are congruent because AB and CD are same in length, but line segment AB and EF are not congruent because AB and EF are not same in length. 

Congruence of Angles

Two angles are congruent if they have same measure.

Two circles are congruent if they have same diameter.