Question

in figure,which pairs of triangles are congruent by ASA congruence condition?if congruent,write the congruence of the two triangles in symbolic form:

Answer 1

ABC&AMN are congruent by ASA comgruence
angle A=A
sideAN=AB
angle M=C

Answer 2

∆ACB is congruent to ∆ AMN

Because

Angle C = Angle M (Each 65°)
Angle BAC = Angle NAM (Each 30°)
BC = MN (Each 2.2cm)

Congruent Figures :

Those figures which covers each other/one another exactly then they are congruent Figures.

There are 4 ways by which we can prove any 2 triangles as congruent :

If they are having -

★ SSS : Side Side Side

Three pairs of side are equal then the triangles are congruent.

★ ASA : Angle Side Angle / AAS : Angle Angle Side

If any 2 pairs of angles and 1 side are equal then the triangles are congruent.

★ SAS : Side Angle Side

If any two pairs of sides and the included angle are equal then the triangles are congruent.

★ RHS : Right Hypotenuse Side

If any right angle triangles are having their hypotenuse and a pair of sides equal then they are congruent.