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

Question

asked Nov 26, 2021 78.5k views

1 Answer

Deepak Ror · Answer 1 · 2021-12-02T05:50:54+0000

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.