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. State whether true or false.

True

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False

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Solution

The correct option is A True
In $△$ OME and $△$ ONE,
OE = OE [Common side]

ME = EN [Tangents drawn from an external point are equal]

OM = ON [Radius of circle]

So, by S.S.S criterion,
$△ O M E ≅ △ O N E$
i.e. the triangles on either side of OE are congruent.
Hence OMEN is symmetrical with respect to OE.

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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. State whether true or false.

The correct option is A TrueIn △OME and △ONE, OE = OE [Common side] ME = EN [Tangents drawn from an external point are equal] OM = ON [Radius of circle] So, by S.S.S criterion, △OME≅△ONE i.e. the triangles on either side of OE are congruent. Hence OMEN is symmetrical with respect to OE.