Which of the following is a figure rotated about in rotational symmetry?

A. Endpoint
B. Point of symmetry
C. Midpoint
D. Point of congruency

Respuesta :

The answer is C. Mid point

Answer with explanation:

The Meaning of term Rotational Symmetry is , when a geometrical shape is rotated  by an Angle , the Original Pre-image and Image appear Congruent.

For example, when you rotate a Square through a complete revolution that is through an angle of 360°, it appears congruent to it's Original Preimage four times , that is each time when it is rotated by angle of 90°.

So,Order of rotational Symmetry = 4

For a line segment , end points are important while considering Rotational Symmetry.

⇒⇒⇒For a Geometrical Shape, having 1 or infinite order of symmetry

1. End Point is not a Figure that is not a geometrical shape.

2. Point of Symmetry is a Figure because we can call a point a geometrical shape.And in the context of Rotational Symmetry the term is often used.

3. Midpoint is also a Figure because we can call a point a geometrical shape but in context of rotational symmetry the term mid point does not come into consideration.

4.Point of congruence is also a Figure because we can call a point a geometrical shape but from the point of view of rotational symmetry, the term Point of congruence does not make any sense.

Option B →Point of symmetry

   is a figure rotated about in rotational symmetry.

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