Question

part 1 of 3
complete the proof
given $angle b cong angle d$ and $overline{ac} cong overline{ce}$
prove $\triangle cab cong \triangle ced$

complete the proof below
statement \t reason
dropdown \t given
blacked out option
$angle a cong angle d$ and $overline{ab} cong overline{de}$
$angle b cong angle e$ and $overline{bc} cong overline{ce}$
$angle a cong angle e$ and $overline{ac} cong overline{cd}$
$angle b cong angle d$ and $overline{ac} cong overline{ce}$

Explanation:

Step1: Analyze Given Information

The problem states we are given $\angle B \cong \angle D$ and $\overline{AC} \cong \overline{CE}$, and we need to prove $\triangle CAB \cong \triangle CED$. We look for the statement that matches the given information.

Step2: Match with Options

Among the options, the statement "$\angle B \cong \angle D$ and $\overline{AC} \cong \overline{CE}$" exactly matches the given information (since the reason is "Given").

Answer:

$\angle B \cong \angle D$ and $\overline{AC} \cong \overline{CE}$