Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.

Question

Check whether the following statement is true or not-Let the line segment AB and CD intersect O in such a way that OA-OD and OB-OC then AC-BD- but AC may not be parallel to BD-TrueFalse

Toppr Admin · Accepted Answer

Let a line segment AB and CD intersect at point O-xA0- in such thatOA-ODOB-OCAC-BDBut- from the above-we can conclude that-OC-x2260-ODAO-x2260-OBSo- AC may not be parallel to BD-The correct option is A-

Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.
True
False

Let a line segment $A B$ and $C D$ intersect at point O in such that
$O A = O D$
$O B = O C$
$A C = B D$
But, from the above,
we can conclude that,
$O C \neq O D$
$A O \neq O B$
So, $A C$ may not be parallel to $B D$ .
The correct option is A.

Check whether the following statement is true or not:Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.TrueFalse

Let a line segment AB and CD intersect at point O in such thatOA=ODOB=OCAC=BDBut, from the above,we can conclude that,OC≠ODAO≠OBSo, AC may not be parallel to BD.The correct option is A.

Check whether the following statement is true or not:

Let the line segment AB and CD intersect at O in such a way that OA=OD and OB=OC then AC=BD, but AC may not be parallel to BD.
True
False

Let a line segment $A B$ and $C D$ intersect at point O in such that
$O A = O D$
$O B = O C$
$A C = B D$
But, from the above,
we can conclude that,
$O C \neq O D$
$A O \neq O B$
So, $A C$ may not be parallel to $B D$ .
The correct option is A.