Question

Prove that triangle ABD is congruent to the CDB​

Answer 1

Answer:reflexive property

Explanation:

Db is congruent to db

Answer 2

By the given explanation It is proven that the triangle ABD is congruent to the triangle CDB.​  

Given:

The quadrilateral ABCD is divided into two triangles ΔABD and ΔCDB​      

To find:  

Prove that triangle ABD is congruent to the CDB​  

Solution:  

Congruent triangle:

In mathematics congruent indicates identical shapes. The set of triangles that have equal corresponding sides with equal angles is known as Congruent triangles.

From the given picture,

We have two triangles ABD and BCD

From the triangles ABD and BCD

=> AB = BC   [ equal sides of ABCD ]

=> AD = DC  [ equal sides of ABCD ]

=> BD = BD  [ Common side ]  

Hence, By the Side-Side-Side criteria, the triangles ABD and BCD are Congruent triangles.

By the given explanation It is proven that the triangle ABD is congruent to the triangle CDB.​  

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