Verified answer

See to prove that a triangle is congruent u need to prove either of the three test

Angle Angle Test which shows 2 angles of both the triangle are equal

Side Angle Side Test which shows 2 sides and the angle between them of both the triangles are equal

Side Side Side Test which shows that all the 3 sides of both the triangles are same

Angle Side Angle Test which shows that that 2 angles and the side between them of both the triangles are equal

Side Side Angle Test which shows that 2 angles and the side next to one of the angle are equal

Now to ur problem.....

Lets assume that Side AB and Side DE are the the base of both the triangles respectively

Given that angle A and Angle B are equal and also base sides AB and DE are equal.................................. (1)

From point 1 we can conclude that both the triangles are isosceles triangle ( triangles with 2 sides and two base angles equal )

So since the base and the top angle of both the triangles are equal so the triangle DEF has the remaining two side equal to the 7.2 cm sides of the other

In simple language DF and FE is equal to 7.2

So now in triangle ABC and DEF

side AC =Side DF

Side CB = side FE

Side AB = side DE

So the given pair of triangles are congruent by SSS Test.......

The given pair is also congruent by SAS test, AA test, ASA test.... It depends that are u considering the sides of the triangles or the angles of the triangle and remember that the sum of all angles in a given triangle is 180 degrees so using this logic u can prove that it by the other tests......

Hope it helps....

Yes, They are congruent, And I think they are the same size and everything. Hoped this helped!! ^.^