Question

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.

• A. True
• B. False

Answer 1

The correct option is A True

Let a line segment $AB$ and $CD$ intersect at point O in such that

$OA=OD$

$OB=OC$

$AC=BD$

But, from the above,

we can conclude that,

$OC\ne OD$

$AO\ne OB$

So, $AC$ may not be parallel to $BD$.

The correct option is A.