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Mathematics, 14.04.2021 03:50 samone26

In ΔABC shown below, line segment AB is congruent to line segment BC: Triangle ABC, where sides AB and CB are congruent

Given: line segment AB≅line segment BC

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. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector
3. segment BD ≅ segment BD 3. Reflexive Property
4. 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. 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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Answers: 1

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