Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

ABCD is a Rhombus. EABF is a straight line such that EA = AB =BF. Prove that ED and FC when produced meet at a right angle.
Asked by kranjay30 | 11 Oct, 2015, 12:29: 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.
A B C D space i s space a space r h o m b u s space a n d space E A B F space i s space t h e space s t r a i g h t space l i n e space s u c h space t h a t space E A equals A B equals B F rightwards double arrow A B equals B C equals C D equals A D equals E A equals B F... left parenthesis 1 right parenthesis P r o d u c e space E D space a n d space F C space t o space m e e t space a t space G. W e space n e e d space t o space p r o v e space t h a t space angle D G C equals 90 degree C o n s i d e r space t h e space t r i a n g l e s space E A D space a n d space A B C E A equals A B space... left parenthesis f r o m space e q u a t i o n space left parenthesis 1 right parenthesis rightwards double arrow S i n c e space A D parallel to B C comma space w e space h a v e comma space angle E A D equals angle A B C A D equals B C space... left parenthesis f r o m space e q u a t i o n space left parenthesis 1 right parenthesis T h u s comma space b y space S i d e minus A n g l e minus S i d 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 E A D approximately equal to triangle space A B C 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 comma space w e space h a v e comma angle A E D equals angle B A C E D parallel to A C rightwards double arrow E G parallel to A C S i m i l a r l y space w e space c a n space p r o v e space t h a t space G F parallel to B D T h e space d i a g o n a l s space o f space r h o m b u s space i n t e r s e c t space a t space r i g h t space a n g l e s. T h u s comma space E G space a n d space G F space i n t e r s e c t space a t space r i g h t space a n g l e s.
Answered by Vimala Ramamurthy | 11 Oct, 2015, 02:24: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
if the diagonals of a parallelogram are equal then show that it is a rectangle
Asked by priyankaubelal | 05 Mar, 2020, 10:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
If an angle of a parallelogram is two thirds of its adjacent angle find the angle of a parallelogram .
Asked by agarwalsenterprises | 19 Feb, 2020, 07:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In the figure ABCD is a parallelogram in which DAB = 80o and DBC = 60o. Calculate CDB and ADB.
Asked by Topperlearning User | 09 Dec, 2013, 01:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Find the measure of each angle of a parallelogram, if one of its angles is 30o less than twice the smallest angle.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In the given figure, PN and RM are perpendiculars to the diagonal QS of a parallelogram PQRS. Prove that PNS RMQ and PN = RM.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ABCD is a parallelogram in which X and Y are the mid points of AB and DC respectively. If AY and DX intersect in P while CX and BY intersect in Q, show that quadrilateral PXQY is a parallelogram.
Asked by Topperlearning User | 09 Dec, 2013, 02:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
LMNO is a parallelogram. Compute the values of x and y.
Asked by Topperlearning User | 09 Dec, 2013, 01:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Characterize the following statements a TRUE or FALSE and give reason for your answer. If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In a parallelogram ABCD, prove that the sum of any two consecutive angles is 180o.
Asked by Topperlearning User | 09 Dec, 2013, 01:40: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In a ABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.         
Asked by Topperlearning User | 04 Jun, 2014, 01:23: 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
×