serenityy16
serenityy16 serenityy16
  • 20-11-2020
  • Mathematics
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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 so by what theorem class=

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eudora eudora
  • 28-11-2020

Answer:

Option (1)

Step-by-step 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.

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