Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. 8.20). Show that: (iv) AQ = CP

Q: 9     In parallelogram ABCD, two points P and Q are taken on diagonal BD such that  \small DP=BQ (see Fig. \small 8.20). Show that:

              (iv) \small AQ=CP

                

Answers (1)

best_answer

Given: In parallelogram ABCD, two points P and Q are taken on diagonal BD such that \small DP=BQ.

To prove :\small AQ=CP 

Proof :

In \small \Delta AQB\, \, and\, \, \Delta CPD,

   DP=BQ       (Given )

 \angleABQ=\angleCDP     (alternate angles)

    AB=CD       (opposite sides of a parallelogram)

\small \Delta AQB\cong \Delta CPD                (By SAS)          

   \small AQ=CP                       (CPCT)

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper
anam-khan

CBSE Board Exam 2025: Class 10, 12 practical exam dates out at cbse.gov.in; passing marks

Latest Question