wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the adjoining figure, PA ⊥ AB, QB ⊥ AB and PA = QB. If PQ intersects AB at O, show that O is the midpoint of AB as well as that of PQ.

Open in App
Solution

In AOP and BOQ, we have:AOP=BOQ (Vertically opposite angle)OAP=OBQ (90° each)PA=QB (Given)AOPBOQ (AAS criterion)
OA=OB (CPCT)OP=OQ (CPCT)
So, O is midpoint of AB and PQ.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon