Given: segment AB is congruent to segment CB; angle A is congruent to angle C; segment DB bisects angle ABC. Prove: segment AD is congruent to segment CD

Question

It must be a flow proof with five justified reasons.

Answer 1

BD bisects ∠ABC     Given

∠ABD = ∠CBD         Definition of bisect

BD = BD                Reflexive

AB = BC                Given

ΛABD = ΛCBD        SAS

AD = CD                If triangles are congruent, sides are congruent

 

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