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CBSE Class 9 Answered

 Show that a diagonal of a parallelogram divides into two congruent triangles and hence prove that the opposite sides of a parallelogram are equal.
Asked by pkirankumar4321 | 23 Feb, 2015, 09:12: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
N o w space c o n s i d e r space t h e space t r i a n g l e s space A B C space a n d space A C D. S i n c e space t h e space l i n e space s e g m e n t s space A B space a n d space C D space a r e space p a r a l l e l space t o space e a c h space o t h e r comma space a n d space A C space i s space a space t r a n s v e r s a l space w e space h a v e comma angle A C B equals angle C A D A C equals A C space space space space space space space space space space space space space space space space space space left square bracket c o m m o n space s i d e right square bracket angle C A B equals angle A C D T h u s comma space b y space A n g l e minus S i d e minus A n g l e space c r i t e r i o n space o f space c o n g r u e n c e comma space w e space h a v e comma triangle A B C approximately equal to triangle A C D T h e space c o r r e s p o n d i n g space p a r t s space o f space t h e space c o n g r u e n t space t r i a n g l e s space a r e space c o n g r u e n t. T h u s comma space w e space h a v e comma A B equals C D space a n d space A D equals B C
Answered by Vimala Ramamurthy | 24 Feb, 2015, 08:58: AM

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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
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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
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CBSE 9 - Maths
each side of square field ABCD is 50 m long, length of diagonal field is (route 2 =1.414
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CBSE 9 - Maths
Please solve in fast
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Asked by seemarana8535 | 11 May, 2022, 04:17: PM
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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
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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
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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
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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
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CBSE 9 - Maths
what is ASA congruence rule
Asked by aziznoorani17 | 04 Jan, 2022, 11:32: AM
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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
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