Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • AD and BC are equal perpendiculars to a line segment AB (see Fig.). Show that CD bisects AB.

3.  \small AD and \small BC are equal perpendiculars to a line segment \small AB (see Fig.). Show that  \small CD bisects \small AB.

  

Answers (1)

best_answer

In the given figure consider \DeltaAOD  and  \DeltaBOC.

(i)  AD  =  BC               (given)

(ii)  \angle A   =  \angle B            (given that the line AB is perpendicular to AD and BC)

(iii)  \angle AOD  =  \angle BOC (vertically opposite angles).

Thus by AAS Postulate, we have  \Delta AOD\ \cong \ \Delta BOC

Hence by c.p.c.t. we can write :  AO\ =\ OB

And thus CD bisects AB.

Posted by

Devendra Khairwa

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 Hindi Exam Analysis 2025: Paper ‘well-organised, moderately difficult'; MCQ section easy
anam-khan

No change in CBSE Class 10 subjects for 2026, board will offer 45 languages: Chairman clarifies
anam-khan

Minister objects to Punjabi's absence from list in CBSE draft; board says language list 'indicative'

Latest Question