Question

Define the term congruence with their types and their examples

Answer 1

Hello Crystinia
If two figures are congruent, then they're exactly the same shape, and they're exactly the same size. They may appear different because one is shifted or rotated a certain way, but they're still the same shape, and all the sides of one are the same length as the corresponding sides of the other.
Types of congruence :--
SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Example is above...
I hope it will help you dear :-)

Answer 2

Congruence :
In Mathematics, Any Two figures are congruent , when they are exactly mirror images of each other.
The term associated with it, is called congruence.

=> Congruency is not only limited to triangles, (as we think mostly) .
For Examples,

1) Two line segments are congruent to each other, when they are of same length.

In. pic 1 , Line AB is congruent to CD, cause they are is same length.

2) Two Circles having radii is same length are congruent.
See pic 2 , Both circles are of same radii AB=CD .
=> Both circles are congruent.

3) Two triangle are congruent when all of there corresponding sides /angles are of equal measure.

See Pic 3 ,
Both triangles have bases of same length, (3 units) and also angle included by it. (90°)

In triangles, we made special cases, when they are congruent.
For example,
ASA (Angle-Side -Angle rule)
=> When any two angles and sides included by them are equal, then two triangle are congruent.

Similarly, there are other rules like.
SAS, AAS, RHS, SSS, etc which helps in ensuring Congruence if any two triangles.