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given: $overline{ab}congoverline{bc}$, $overline{db}$ bisects $angle ab…

Question

given: $overline{ab}congoverline{bc}$, $overline{db}$ bisects $angle abc$. prove: $\triangle abccong\triangle cbd$. complete the statements in the two - column proof. enter your answers in the boxes. statements: 1. $overline{ab}congoverline{bc}$, $overline{db}$ bisects $angle abc$; 2. $angle2congangle$ blank; 3. side blank $cong$ side blank; 4. $\triangle abccong\triangle cbd$. reasons: 1. given; 2. definition of angle bisector; 3. reflexive property; 4. sas

Explanation:

Step1: Identify angle from bisector

∠2 ≅ ∠5 (definition of angle bisector)

Step2: Apply reflexive property to side

side t ≅ side t (reflexive property)

Answer:

  1. ∠5
  2. t