Question

Prove that the following triangles are congruent

Answer 1

$hey \: here....$
given: DA = CB = 4Cm

prove: triangle ABC IS congruent to triangle BAD

PROOF: in triangle ABC and BAD

DA = CB ( GIVEN )
AB = AB ( COMMON )
angle ACB = angle BDA ( 90° EACH )

BY RHS ---> TRIANGLE ABC IS CONGRUENT TO TRIANGLE BAD


$proved$

Answer 2

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.