Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that : (i) SR || AC and SR = 1/2 AC

Q : 1 ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig \small 8.29). AC is a diagonal. Show that :  \small SR\parallel AC  and   \small SR=\frac{1}{2}AC

    

Answers (1)

best_answer

Given :   ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig \small 8.29). AC is a diagonal.

To prove :  \small SR\parallel AC  and   \small SR=\frac{1}{2}AC

Proof: In \triangleACD,

  S is the midpoint of DA.                (Given)

  R  is the midpoint of DC.               (Given)

  By midpoint theorem,

  \small SR\parallel AC  and   \small SR=\frac{1}{2}AC

   

 

 

 

 

 

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exam Date 2025 Live: Bihar Class 10, 12 model papers out, time table soon; updates on CBSE, UP
anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF

Latest Question