Congruent Triangles:

Image 1



Congruent Triangles:

Congruent Triangles are a type of similar triangles. Similar triangles have the same type of shape; however their size may be different. On the other hand congruent triangles have the same shape as well as same size also.Let us learn about congruency. Congruence is fundamental; it is the counterpart of equality for numbers. In analytic geometry,congruence may be defined intuitively thus: two mappings of figures onto one Cartesian coordinate system are congruent if and only if, for any two points in the first mapping, the Eucledian distance between them is equal to the Euclidean distance between the corresponding points in the second mapping.

As we can see above that the shape of the congruent triangles is the same but the size differs.If we learn to identify the congruent triangles we can solve the problems related to congruent triangles too.Let us now look at an example problem related to Congruent Triangle:As given in the Figure above Image 1

Given SP=SR AND

QP=QR

Is SQP SQR are congruent

Solution:

From the SQP and SQR

We have,

SQ = SQ

SP = SR

QP = QR

As the three sides of TRI SQP and the three sides of TRI SQR are equal, we write

SQP SQR

Hope you like the above example of Congrunt Triangles.Please leave your comments, if you have any doubts.