Let's do this question if triangle, ABC and NBC are on the same base, BBC, ABC, go to DC and AC
is equal to DB, then which of the following gives a congruence relationship?
All right, pause the video, give it a try and then let's do it together.
All right, we're back.
Let's do it together.
It's given that ABC and Reindl DBC are on the same base.
ABC Let's draw two triangles on the same base ABC.
All right, and it is given that ABC to DC and AC is equal to Debbie.
All right, so let me draw ABC over here and let me change the orientation of DBC in a manner such that
corresponding sites are placed on corresponding locations.
So I have ABC over here and similarly I have DCB over here.
Why do I keep Triangle DCB like this?
Because it's given that ABC is equal to D.C., so I have a B over here.
So D.C. also should be on this side.
The orientation of Triangle DCB is kept in such a manner.
All right.
It's also mentioned that X equals DB, so I should have DB in this same position.
So I have DVOA here and ABC and CBS are common base.
So these two triangles now have corresponding sites aligned with each other and these two triangles
are congruent asper and criteria.
Right, because these two triangles have three sets of sides which are equal that is equal to DC excludable
and B.C. is equal to c.B.
Therefore the correct answer to this question is option C, that's triangle ABC is congruently triangle
DCB.
Remember, you need to have the corresponding vertices.
So over here we have ABC and corresponding to Vertex, here you have Vertex, the responding to Vertex
B, you have Vertex C and corresponding to Vertex C over here you have Vertex B, so triangle ABC is
congruent to Triangle D, C we remember it would be wrong to write this in any other way.
If you are writing triangle, ABC is congruent to say, for example, DBC that would be wrong.
Right, because if you superimpose Triangle, ABC and DBC in that orientation they would not superimpose
each other.
Exactly.