Please answer this question of NCERT Pg no. 129 , class 10 with proper solution.
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HELLO DEAR,
given that:-
ABCD is a quadrilateral and diagonal AN AND AC intersect each other at point O
such that AO /BO =CO / DO
Construction :- DRAW A LINE OF THROUGH O
WHERE OF || AB AND MEET AD AT F
now,
IN ∆ DAB,
OF || OB
DO/OB = DF/FA [BY B.P.T.]-------------(1)
AND
AO /BO =CO / DO [given]
we can also write like that,
CO/AO = BO/DO
DO/OB = CO/AO ----------(2)
from --(1) and--(2)
we get,
DF/FA = CO/AO
we know that the Converse of B.P.T.
FO || AB AND FO || DC
=> AB || DC
hence (quad.ABCD) is a TRAPEZIUM
with AB || DC
I HOPE ITS HELP YOU DEAR,
THANKS ☺️☺️☺️
given that:-
ABCD is a quadrilateral and diagonal AN AND AC intersect each other at point O
such that AO /BO =CO / DO
Construction :- DRAW A LINE OF THROUGH O
WHERE OF || AB AND MEET AD AT F
now,
IN ∆ DAB,
OF || OB
DO/OB = DF/FA [BY B.P.T.]-------------(1)
AND
AO /BO =CO / DO [given]
we can also write like that,
CO/AO = BO/DO
DO/OB = CO/AO ----------(2)
from --(1) and--(2)
we get,
DF/FA = CO/AO
we know that the Converse of B.P.T.
FO || AB AND FO || DC
=> AB || DC
hence (quad.ABCD) is a TRAPEZIUM
with AB || DC
I HOPE ITS HELP YOU DEAR,
THANKS ☺️☺️☺️
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