Question

In the given figure. OA perpendicular OD OC perpenducular OB OD=OA and OC=OB prove that AB=CD

Answer 1

We join C and D,

and A and B.

Now we get Triangle DOC and Triangle AOB,

In these two Triangles we get the following points,

1), OD=OA ( given),

2), OC=OB,( given),

3), Angle DOC=Angle AOB= 90°

Therefore

Triangle DOC congruent to Triangle AOB, Here SAS congruency occurred,

Therefore AB=CD,

Hence proved.

Answer 2

Answer:

We join C and D,

and A and B.

Now we get Triangle DOC and Triangle AOB,

In these two Triangles we get the following points,

1), OD=OA ( given),

2), OC=OB,( given),

3), Angle DOC=Angle AOB= 90°

Therefore

Triangle DOC congruent to Triangle AOB, Here SAS congruency occurred,

Therefore AB=CD,

Hence proved.