Question

Provide the reasons for the proof.
Given: AB =~ BC
AC(perpendicular)BD
Prove: AD =~ CD

Answer 1

What is the theorem that states, if you have a line that bisects the opposite side, that it also bisects the angle?

Answer 2

so angles ABD and BDC are equal

Answer 3

It is an isocolese triangle, so the angles opposite the equal legs are also equal, The angles at A and C are equal

Answer 4

AB=BC is given

Answer 5

DB=DB reflexive

Answer 6

The two interior triangles are congruent by side angle Side

Answer 7

Thus AD = DC