in the figure below, segment AC is congruent to segment AB.

Which statement is used to prove that angle ABD is congruent to angle ACD?

Triangle ACD is similar to triangle ABD.

Segment AD is congruent to segment AC.

Angle DAC is congruent to angle DAB.

Angle CAB is congruent to angle CBA.

Question

in the figure below, segment AC is congruent to segment AB. 
  
 

Which statement is used to prove that angle ABD is congruent to angle ACD?

 Triangle ACD is similar to triangle ABD.

 Segment AD is congruent to segment AC. 
 

 Angle DAC is congruent to angle DAB.

 Angle CAB is congruent to angle CBA.

anonymous · Answer

attachment

ash2326 · Answer

@izzy777 do you have any idea about this?

anonymous · Answer

i honestly dont im so confused

anonymous · Answer

i think c makes sense but im not sure

ash2326 · Answer

Okay, I'll explain you
We have
AB=AC
and AD=AD ( common side)
now we need one more statement to prove the congruency

ash2326 · Answer

You are doing fine, why do you think c makes sense?

anonymous · Answer

<ADC = <ADB.......this would be our third statement, right?

anonymous · Answer

beacause it has the same angle meaning the other segments can only open at a certain degree

ash2326 · Answer

@izzy777 good work:D
you;re correct

anonymous · Answer

yes! thanks

anonymous · Answer

can you help me with another one?.