Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

Prove that the diagonals of a parallelogram divides it into two congruent triangles

Asked by Paresh | 11 Dec, 2015, 02:59: PM
answered-by-expert Expert Answer

Given below is parallelogram ABCD

AC is one diagonal of ABCD.

Diagonal AC divides ABCD into triangle BAC and triangle DCA

begin mathsize 16px style In space increment BAC space and space increment DCA space angle 1 space equals space angle 2 space left square bracket Pair space of space alternate space angles right square bracket space AC space equals space AC space left parenthesis common right parenthesis angle 3 space equals space angle 4 space left square bracket Pair space of space alternate space angles right square bracket increment BAC space approximately equal to space increment DCA space space space... open parentheses By space straight A. straight S. straight A space rule close parentheses Therefore comma space diagonals space of space straight a space parallelogram space divides space it space into space two space congruent space triangles. space end style

 Similarly we can prove that diagonal DB also divides parallelogram ABCD into two congruent triangles 

Answered by Priti Shah | 11 Dec, 2015, 06:22: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
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
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
ABCD is a Rhombus in which BC = 25cm, AD = 24cm. Find the sum of lengths of the diagonals.
Asked by riya.yanamandra | 19 Oct, 2020, 06:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if the diagonal of a parallelogram are equal,then show that it is a rectangle.
Asked by shubhras445 | 27 May, 2020, 01:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In a parallelogram ABCD the diagonals intersect at O. Prove that AO=CO.
Asked by vivaangolank | 10 Nov, 2019, 10:47: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Diagonals of a parallelogram intersect each other at point O If AO=5,BO=12 and AB=13 then show that quadrilateral ABCD is a rhombus
Asked by Rajeshparve | 25 Oct, 2018, 10:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if O is a point within a quadrilateral ABCD , show that OA+OB+OC+OD>AC+BD
Asked by gspublicschool | 08 Sep, 2018, 06:04: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the diagonals of a rhombus are perpendicular to each other.
Asked by Topperlearning User | 17 Aug, 2017, 07:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
PQRS is a square. PR and SQ intersect at O. What is the measure of POQ?
Asked by Topperlearning User | 17 Aug, 2017, 07:45: AM
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
×