In ABC shown below,is congruent to: Given: Prove: The base angles of an isosceles triangle are congruent.
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Question

In ΔABC shown below,  is congruent to :

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Given: ≅


Prove: The base angles of an isosceles triangle are congruent.


The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:


Statement Reason

1. BD is an angle bisector of ∠ABC. 1. by Construction

2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector

3.  BD ≅  BD 3. Reflexive Property

4. 4. Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA5. CPCTC


Which statement can be used to fill in the numbered blank space? ΔDAB ≅ ΔDBC

 ΔABD ≅ ΔABC

 ΔABC ≅ ΔCBD

 ΔABD ≅ ΔCBD

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