Question

Look at the figure below.

Which information is required to prove that angle ABD is congruent to angle ACD?

Segment AC is congruent to segment AB.

Segment AD is congruent to segment AC.

Segment BD is congruent to segment AD.

Segment AB is congruent to segment BD.

Answer 1

@jim_thompson5910

Answer 2

@AccessDenied

Answer 3

you need to prove that triangle ACD is congruent to triangle ABD

We can see that AD = AD

So we need to show that AC = AB and CD = DB (if we can only use information about the sides) which will lead us to use the SSS property of congruence. This will allow us to show that the corresponding angles ABD and ACD are congruent by the CPCTC property

So the answer is choice A