We ask for some passport size photos and this is what we get.

So, we observe that each photo here looks exactly the same as the other.

Or we can say that they have the same shape and size. In mathematical terms, these figures are known as congruent figures.

Today, let us discuss about this congruency rule specifically in triangles.

We all are familiar with SSS and SAS criteria of congruence of triangles, let us today discuss ASA criteria.

Let’s discuss the ASA Congruence of the triangle.

ASA stands for

Let us define ASA congruency

If two angles and included side of a triangle are equal to two corresponding angles and the included side of another triangle then the triangles will be congruent.

Let us discuss this with an example, consider a $△ABC$

Here $∠ABC$ = $60_{°}$, $∠ACB$ = $40_{°}$ and $BC$ = $6cm$.

Now let us consider another $△PQR$

If the measure of angle PQR is $40_{°}$, measure of angle PRQ is $60_{°}$ and the side QR is $6cm$

Then we can say that these two triangles surely will be congruent.

Revision

The ASA congruence triangle states “if 2 angles and included side of a triangle are equal to 2 corresponding angles and the included side of another triangle then the triangles will be congruent.

Then we can say that these two triangles surely will be congruent.