Question

pls answer.
THIS QUESTION IS FROM CHAPTER TRIANGLES(CLASS 9)​

Answer 1

In ∆ ABC and ∆ ABD ,

Angle CAB = Angle DAB (Given Bisector)

AB = AB (Common)

AC = AD (Given )

By SAS congruency rule ,

∆ABC is congruent to ∆ABD

And by Cpct BC = BD .

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.