Question

Fill in the missing statement and reason of the proof below

Answer 1

In the given figure we have the following:

Statement

`\Delta ABD\cong\Delta CBD`

This means that triangle ABD is congruent with triangle CDB.

Reason:

Since BD = BS and we have that:

`\begin{gathered} \angle ABD=\angle CBD \\ \angle\text{ADC}=\angle CDB \end{gathered}`

We can apply the ASA (Angle Side Angle) theorem of congruency.