Question

E is a point outside the circle as shown. ME and NE are tangents drawn to the circle from this point. Quadrilateral OMEN is symmetrical with respect to OE.

• A. True
• B. False

Answer 1

The correct option is A True

In $△$OME and $△$ONE,
OE = OE [common side]
ME = EN [Tangents are equal]
OM = ON [Radii]
So, by SSS criterion,
$△OME\cong △ONE$
i.e. the triangles on either side of OE are congruent.
Hence OMEN is symmetrical with respect to OE.