78.5k views
5 votes
Given: AB ≅ CB and D is the midpoint of AC. Are these two triangles congruent? If so by what theorem?​

Given: AB ≅ CB and D is the midpoint of AC. Are these two triangles congruent? If-example-1
User Belen
by
8.0k points

1 Answer

2 votes

Answer:

Option (1)

Explanation:

From the picture attached,

In ΔADB and ΔCDB,

AB ≅ BC [Given]

BD ≅ BD [Reflexive property]

AD ≅ DC [Given] (since D is the midpoint of AC)

Therefore, ΔADB ≅ ΔCDB [By SSS postulate of congruence]

Option (1) will be the answer.

User Deepak Ror
by
8.0k points