Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other?
Asked by simran2 | 05 Aug, 2010, 12:00: AM
answered-by-expert Expert Answer
Dear Student,
 
ABCD is a quadrilateral in which P, Q, R, & S are mid points of AB, BC, CD & AD
In ∆ACD, SR is touching mid points of CD and AD
So, SR||AC

Similarly following can be proved
PQ||AC, QR||BD and PS||BD

So, PQRS is a parallelogram.

PR and QS are diagonals of the parallelogram PQRS, so they will bisect each other.
 
Regards,
Topperlearning.
Answered by | 05 Aug, 2010, 07:34: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
Prove that it in a quadrilateral each pair of opposite angles are equal them it is a paralleogram
Asked by chandininayak86 | 15 Dec, 2023, 07:36: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
If the diagonal of a parallelogram are equal,then show that it is a square.       .
Asked by sagrawal0081 | 31 Aug, 2023, 07:24: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
each side of square field ABCD is 50 m long, length of diagonal field is (route 2 =1.414
Asked by jahnavinehra | 03 Jul, 2022, 11:19: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Please solve in fast
question image
Asked by seemarana8535 | 11 May, 2022, 04:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
prove that a diagonal of a parallelogram divides it into two congruent triangle
Asked by abhiroy1462 | 16 Apr, 2022, 02:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if the diagonal of the parrellolegram are equl then show that it is a rectangle  
Asked by abdullahzedane2008 | 28 Mar, 2022, 12:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
diagonal AC of a parallelogram ABCD bisects ∆A . i . it biseets ∆C also ii . ABCD is a rhombus
Asked by sanskritiraghudev | 19 Feb, 2022, 09:38: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ABCD is a Parallelogram in which ∠BAO = 35∘, ∠DAO=40∘ and ∠COD=105∘. Find ∠ABO?
Asked by varundhawan | 31 Jan, 2022, 10:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
what is ASA congruence rule
Asked by aziznoorani17 | 04 Jan, 2022, 11:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
the line segment joining the midpoints of two sides of a triangle is parallel to the third side
Asked by vineetyadav77050 | 25 Jul, 2021, 05:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×