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?

Segment AD bisects angle CAB.

Triangle ACD is similar to triangle ABD.

Segment AD is congruent to segment AC.

Angle CAB is congruent to angle CBA.

Answer 1

Here's a hint: SAS

Answer 2

ok gimme a sec

Answer 3

Im thinking the first one

Answer 4

Let's draw.

Answer 5

Now, if the first was true, we'd also have this

Answer 6

And clearly, this side is congruent to itself

Answer 7

So, by SAS, your two smaller triangles would be congruent

You were CORRECT!

Good job :)

Answer 8

Thanks!