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Ratling [72]
3 years ago
8

Explain why ΔADB ≅ ΔCDB. List the other corresponding parts.

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

Therefore the Correct option is First one

SAS, ∠A ≅ ∠C,  AB ≅ CB , ∠ABD ≅ ∠CBD .

Step-by-step explanation:

Given:

∠BDA ≅ ∠BDC

AD ≅ CD

TO Prove

ΔADB ≅ ΔCDB

Proof:

In  ΔADB  and ΔCDB  

AD ≅ CD               ....……….{Given}

∠BDA ≅ ∠BDC     …………..{Given}

BD ≅ BD               ....……….{Reflexive Property}

ΔADB ≅ ΔCDB  ….{By Side-Angle-Side Congruence Postulate}

∴ ∠A ≅ ∠C  ......{Corresponding Parts of Congruent Triangle are Congruent}

  AB ≅ CB  ......{Corresponding Parts of Congruent Triangle are Congruent}

∠ABD ≅ ∠CBD {Corresponding Parts of Congruent Triangle are Congruent}

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