Question

OD bisects angle AOB. DA and DB are perpendicular from point D on the rays OA and OB . Show that DA is congruent with DB​

Answer 1

Answer:

DA is congruent to DB as triangle OAD is congruent to triangle OBD (CPCT)

Step-by-step explanation:

In triangles OAD in OBD,

Angle AOD=angle DOB (as OD bisects AOB)

Angle DAO= angle DBO= 90° (as DA and DB are perpendicular to OA and OB)

OD=OD (common side)

Therefore, both triangles are congruent by AAS

By CPCT, DA=DB

Hence Proved.