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Let's do this question if triangle, ABC and NBC are on the same base, BBC, ABC, go to DC and AC

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is equal to DB, then which of the following gives a congruence relationship?

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All right, pause the video, give it a try and then let's do it together.

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All right, we're back.

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Let's do it together.

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It's given that ABC and Reindl DBC are on the same base.

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ABC Let's draw two triangles on the same base ABC.

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All right, and it is given that ABC to DC and AC is equal to Debbie.

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All right, so let me draw ABC over here and let me change the orientation of DBC in a manner such that

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corresponding sites are placed on corresponding locations.

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So I have ABC over here and similarly I have DCB over here.

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Why do I keep Triangle DCB like this?

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Because it's given that ABC is equal to D.C., so I have a B over here.

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So D.C. also should be on this side.

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The orientation of Triangle DCB is kept in such a manner.

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All right.

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It's also mentioned that X equals DB, so I should have DB in this same position.

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So I have DVOA here and ABC and CBS are common base.

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So these two triangles now have corresponding sites aligned with each other and these two triangles

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are congruent asper and criteria.

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Right, because these two triangles have three sets of sides which are equal that is equal to DC excludable

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and B.C. is equal to c.B.

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Therefore the correct answer to this question is option C, that's triangle ABC is congruently triangle

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DCB.

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Remember, you need to have the corresponding vertices.

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So over here we have ABC and corresponding to Vertex, here you have Vertex, the responding to Vertex

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B, you have Vertex C and corresponding to Vertex C over here you have Vertex B, so triangle ABC is

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congruent to Triangle D, C we remember it would be wrong to write this in any other way.

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If you are writing triangle, ABC is congruent to say, for example, DBC that would be wrong.

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Right, because if you superimpose Triangle, ABC and DBC in that orientation they would not superimpose

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each other.

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Exactly.