Question

Can somebody explain this geometry stuff to me?

In ∆ABC shown below, line segment AB is congruent to line segment BC.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.

Which statement can be used to fill in the numbered blank space?

1) ∡DBA ≅ ∡CDB

2) ∡CAB ≅ ∡ACB

3) ∡ABD ≅ ∡DBC

4) ∡BDA ≅ ∡BDC

Answer 1

3

Answer 2

Thanks!

Answer 3

Do you know how you got that?

Answer 4

angle bisector bisects the angle in two equal angles.
BD bisects angle ABC in two equal angles, ∡ABD and ∡DBC.